Class 9 Maths Past Papers MCQs Grand Practice Test

\({ \frac { { a }^{ 3 }-{ b }^{ 3 } }{ a-b } }\) is equal to:

What is the diagonal length of a TV screen having dimensions 80cm × 60cm?

What is the L.C.M of \({ (x-y) }^{ 2 }\) and \({ (x-y) }^{ 3 }\)?

Factors of \({ 3x }^{ 2 } - x - 2\) are:

When \({ 9x }^{ 2 }-6x+2\) is divided by x, the remainder is:

The region enclosed by the bounding lines of a closed figure is called:

______ congruent triangles can be made by joining mid points of the sides of a triangle.

In the bisection of right angle, each angle is of:

In matrices \({ (A+B) }^{ t }\) equals to

Which of the following sets of the lengths can be the lengths of the sides of a triangle?

Two adjacent angles of a parallelogram are (2x+25)° and (3x-5)° then value of x is:

P(2, −3) lies in quadrant:

For any a , b , c ∈ R if a > b and b > c ⇒ a > c. The name of the property is:

Imaginary part of −i(3i + 2) is:

If x is no larger than 10 then which of the following expressions is FALSE?

Which of the following lines does not intersect y = − 3x + 7 ?

The point (3,1) lies in the _________ quadrant:

The midpoint of the line segment joining the points (−4 , 9) and (−4 , −3) is:

The ________ altitudes of an isosceles triangle are congruent.

LCM of 15\({ x }^{ 2 }\), 45xy and 30xyz is:

A ray has ____ end points.

Which ordered pair satisfy the equation
y = 2x?

x = 0 is a solution of the inequality:

The logarithm of unity to any base is:

In ΔABC, if m∠A=30° and mAB=mAC, then values of ∠B and ∠C are:

For what value of K, (x - 2) is a factor of \(K{ x }^{ 3 }-4{ x }^{ 2 }+3x-6\)?

If \({ { 10 }^{ 2 } }\) = 100 then:

Imaginary part of -i(3i + 2) is

Scientific notation of 0.000761 is

A square matrix is skew-symmetric if:

Medians of a triangle cut each other in the ratio:

The logarithm of any number to itself as base is:

Under what condition capacity "c" of a lift is at the most 1000 Kg?

The right bisectors of the sides of a right triangle intersect each other:

Product of \([\begin{matrix} x & y \end{matrix}][\begin{matrix} 2 \\ -1 \end{matrix}]\) is:

Perpendicular to a line forms an angle of

The bisectors of any two adjacent angles of a parallelogram intersect at:°

If \(\begin{vmatrix}2&6\\3&x\end{vmatrix}\) = 0 , then x is equal to:

Product of two algebraic expressions is equal to:

Distance between the points (1,0) and (0,1) is:

\((\sqrt { a } +\sqrt { b } )(\sqrt { a } -\sqrt { b } )\) is equal to:

Bisection means to divide into _______ parts.

Right bisection of a line segment means to draw a perpendicular at the _____ of that line segment.

x = 5 is a possible solution of the inequality:

What values of x and y make ABCD a parallelogram?

The conjugate of 5 + 4i is:

Midpoint of the points (2, −2) and (−2,2) is:

At what point straight line y = \(\frac { x }{ 2 } +\frac { 1 }{ 2 } \) cuts y-axis?

If x − 2 is factor of P(x) = \({ x }^{ 2 }+2Kx+8\) then K =

How many lines can be drawn through two points?

If a + b = 4 and a - b = \(\sqrt { 12 } \), what is the value of ab?

\({ a }^{ 2 }-ab+{ b }^{ 2 }\) is a factor of:

If hypotenuse of an isosceles right angled triangle is \({ \sqrt { 2 } }\) cm then each of other side is:

Two lines can intersect at ____ points.

The distance of the point of concurrency of the median of a triangle from the vertex is 2cm, then the length of that median is:

Triangles on equal bases and equal altitudes are equal in:

HCF of 5\(x^{ 2 }{ y }^{ 2 }{ z }^{ 3 }\) and 30\(x^{ 3 }{ y }^{ 3 }z\) is:

The solution of the equation 2x + y = 1 is:

A triangle having all sides different is called:

\((\sqrt { 3 } +\sqrt { 2 } )(\sqrt { 3 } -\sqrt { 2 } )\) is equal to:

The sum of adjacent angles of a parallelogram is:

If z < 0 then x < y [latex]\Rightarrow [/latex]

Real part of 2ab ( i + i² ) is:

If \(\begin{vmatrix}2&6\\3&x\end{vmatrix}\) = 0 , then x is equal to:

If hypotenuse of an isosceles triangle is \(\sqrt { 2 } \)cm , then each of the other side is of the length:

Each median of a triangle divides it into ________ triangles of equal areas.

If two opposite sides of a quadrilateral are congruent and parallel, then it is a:

If a line segment intersects the two sides of a triangle in the same ratio, then it is ______ to the third side.

The value of \({ i }^{ 18 }\) is:

If x < y or x = y or x > y is called:

Bisection of a line segment means to divide it into _______ equal parts.

The logarithm of unity to any base is:

Factors of \({ { x }^{ 2 }-x-6 }\) are:

The distance between the points (−8 ,1) and (6 ,1) is:

.

If A is a square matrix and \({ A }^{ t }\) = A the A is called:

A square matrix is called singular if its determinant is:

\({ \frac { { a }^{ 2 }-{ b }^{ 2 } }{ a-b } }\) is equal to:

\(log _{ y }{ x } \) will be equal to:

Altitude of an equilateral triangle from vertex to the opposite side makes an angle of ______ to that side.

If one angle of a right triangle is of ________ , then hypotenuse is twice as long as the side opposite to the angle.

Product of \([\begin{matrix} x & y \end{matrix}][\begin{matrix} 2 \\ -1 \end{matrix}]\) is :

If x , y , z \(\epsilon \) R , z < 0 then x < y[latex]\Rightarrow [/latex]:

What will be added to complete the square of \({ 9a }^{ 2 }-12ab\)?

The relation of 𝑦 = \(log _{ z }{ x } \) implies:

If two sides of a quadrilateral are congruent and parallel, it is a:

If two medians of a triangle are congruent, then the triangle will be:

A triangle having all sides different is:

Order of transpose of \([\begin{matrix} 2 & 1 \\ 0 & 1 \\ 3 & 2 \end{matrix}]\) is?

Distance between the points (1,0) and (0,1):

P(−3, −3) lies in quadrant:

Two triangles are similar if their corresponding sides are:

Which ordered pair satisfy the equation
y = 2x?

If y = 2x + 1, and x = 2 then y is equal to:

If three altitudes of a triangle are congruent, then the triangle is:

\((\sqrt { a } +\sqrt { b } )(\sqrt { a } -\sqrt { b } )\) is equal to:

If two medians of a triangle are congruent then the triangle will be:

How many non-collinear points determine a plane?

Imaginary part of −i(3i + 2) is:

The square root of \({ a }^{ 2 }-2a+1\) is:

What will be added to complete the square of \({ 9a }^{ 2 }-12ab\)?

If a, b \(\epsilon \) R then only one of a < b or a = b or a > b holds is called:

If one angle of a/an _______ triangle is of 30°, then hypotenuse is twice as long as the side opposite to the angle.

P(2, −3) lies in quadrant:

LCM of \({ a }^{ 2 }+{ b }^{ 2 }\) and \({ a }^{ 4 }-{ b }^{ 4 }\) is:

LCM of \({ a }^{ 2 }+{ b }^{ 2 }\) and \({ a }^{ 4 }-{ b }^{ 4 }\) is:

The logarithm of any number to itself as base is:

The degree of polynomial \({ x }^{ 2 }{ y }^{ 2 }+3xy+{ y }^{ 3 }\) is:

\(\begin{bmatrix} \sqrt { 2 } & 0 \\ 0 & \sqrt { 2 } \end{bmatrix}\) is called _______ matrix.

(3 + \(\sqrt { 2 } \)) (3 − \(\sqrt { 2 } \)) is equal to:

The square root of \({ a }^{ 2 }-2a+1\) is:

\({ 4 }^{ \frac { 2 }{ 3 } }\) with radical sign is:

If a, b, c are the sides of a triangle and \({ c }^{ 2 }={ a }^{ 2 }+{ b }^{ 2 }\) then it is a _______ triangle.

The relation y = \(log _{ z }{ x }\) implies:

The square root of \({ (x }^{ 4 }+\frac { 1 }{ { x }^{ 4 } } +2)\) is:

HCF of \({ a }^{ 3 }+{ b }^{ 3 }\) and \({ a }^{ 2 }-ab+{ b }^{ 2 }\) is:

x = ___ is a solution of the inequality
−2 < x < [latex]\frac { 3 }{ 2 } [/latex].

If \(\begin{vmatrix} 2 & 3 \\ 6 & x \end{vmatrix}\) =0 , then x=?

Every real number is:

Find ‘m’ so that \({ x }^{ 2 }+4x+m\) is a complete square:

Distance between points (0,0) and (1,0) is:

HCF of \({ a }^{ 2 }-{ b }^{ 2 }\) and \({ a }^{ 3 }-{ b }^{ 3 }\) is:

\({ \frac { { a }^{ 2 }-{ b }^{ 2 } }{ a+b } }\) is equal to:

Find x if \(log _{ 64 }{ x } =-\frac { 2 }{ 3 } \)

The right bisectors of the sides of an acute angled triangle intersect each other:

Order of transpose of \([\begin{matrix} 2 & 1 \\ 0 & 1 \\ 3 & 2 \end{matrix}]\) is?

A non-terminating, non-recurring decimal represents:

If x is no larger than 10 then:

x = 0 is a solution of the inequality:

Find ‘m’ so that \({ x }^{ 2 }\) + 4x + m is a complete square:

The diagonals of a parallelogram ________ each other.

Imaginary part of −i(3i + 2) is:

HCF of \({ a }^{ 3 }+{ b }^{ 3 }\) and \({ a }^{ 2 }-ab+{ b }^{ 2 }\) is:

Two or more than two points lie on the same straight line are called _______ points.

x = ___ is a solution of the inequality
−2 < x < [latex]\frac { 3 }{ 2 } [/latex].

The relation of 𝑦 = \(log _{ z }{ x } \) implies:

Real part of 2ab ( i + i² ) is:

Product of \([\begin{matrix} x & y \end{matrix}][\begin{matrix} 2 \\ -1 \end{matrix}]\) is :

Half length of diameter of circle is called:

If \(log _{ a }{ y } \) = x then:

What should be added to complete the square of \({ x }^{ 4 }\) + 64 ?

A ray has ______ end points.

Find ‘m’ so that \({ x }^{ 2 }+4x+m\) is a complete square:

HCF of \({ x }^{ 2 }\) - 5x + 6 and \({ x }^{ 2 }\) - x - 6 is:

Factors of \({ 3x }^{ 2 }-x-2\):

If (x, 1) = (0, y), then (x,y) is:

The right bisectors of the three sides of a triangle are:

Every real number is:

Which of the following sets of the lengths can be the lengths of the sides of triangle?

\({ \frac { { a }^{ 2 }-{ b }^{ 2 } }{ a+b } }\) is equal to:

If measure of sides of a triangle are 3cm, 4cm and 5cm then triangle is:

Which of the following sets of the lengths can be the lengths of the sides of right triangle?

The medians of a triangle cut each other in the ratio:

If y = 2x + 1, and x = 2, then y is:

Mid point of the points (2, −2) and (−2,2) is:

Find ‘m’ so that \({ x }^{ 2 }+4x+m\) is a complete square:

x = 0 is a solution of the inequality:

HCF of x - 2 and \({ x }^{ 2 }+x-6\) is:

One angle on the base of an isosceles triangle is 30°. What is the measure of its vertical angle?

The degree of polynomial \({ x }^{ 2 }{ y }^{ 2 }+3xy+{ y }^{ 3 }\) is:

(a + b)(\({ a }^{ 2 }\) − ab + \({ a }^{ 2 }\) ) =?

4x − 3y − 2 is an algebraic:

If X + \(\begin{bmatrix} -1 & -2 \\ 0 & -1 \end{bmatrix}\)=\(\begin{bmatrix} 1 & 0 \\ 1 & 0 \end{bmatrix}\) then X is equal to:

If P(\({ x }_{ 1 },{ y }_{ 1 }\)) and Q(\({ x }_{ 2 },{ y }_{ 2 }\)) are two points in the plane, the mid-point R(x , y) of line segment PQ is _______.

\({ i }^{ 7 }\) = ______________

The decimal part of the common logarithm of a number is called _________.

The median of a triangle cut each other in the ratio:

Let ‘c’ be the longest of the sides a, b and c of the triangle then if \({ a }^{ 2 }+{ b }^{ 2 }\)>\({ c }^{ 2 }\) then the triangle is:

The logarithm of any number to itself as base is:

A triangle having all sides equal in length is called:

Factors of \({ 5x }^{ 2 }-17xy-12{ y }^{ 2 }\) are:

The sum of lengths of any two sides of a triangle is ______ than the length of third side

If x is not longer than 10, then:

Order of transpose of \([\begin{matrix} 2 & 1 \\ 0 & 1 \\ 3 & 2 \end{matrix}]\) is?

HCF of 5\({ x }^{ 2 }{ y }^{ 2 }\) and 20\({ x }^{ 3 }{ y }^{ 3 }\) is _________.

Imaginary part of −i(3i + 2) is:

LCM of \({ a }^{ 2 }+{ b }^{ 2 }\) and \({ a }^{ 4 }-{ b }^{ 4 }\) is:

If one angle of a right triangle is of 30°, then hypotenuse is ______ as long as the side opposite to the angle.

The medians of a triangle cut each other in the ratio ________.

The right bisectors of sides of an obtuse triangle intersect each other _____ the triangle.

Product of \([\begin{matrix} x & y \end{matrix}][\begin{matrix} 2 \\ 1 \end{matrix}]\) is :

\({ x }^{ 4 }\) − 16 = ____________

Parallelograms on the same base and between the same parallel lines are equal in:

The product of two algebraic expressions is equal to the _____ of their HCF and LCM

Distance between the points (1,0) and (0,1) is:

\(\frac { { a }^{ 2 }-{ b }^{ 2 } }{ a+b } \) is equal to:

Which ordered pair satisfy the equation
y = 2x?

If \({ i }^{ 2 }\)= −1 then i =?

Distance between the points
(−1,3) and (3, −2) is:

Triangles on equal base and equal altitudes are equal in:

What should be added to complete the square of \({ x }^{ 4 }\) + 64?

\(log _{ b }{ a } \) × \(log _{ c }{ b } \) can be written as:

x = ___ is a solution of the inequality
−2 < x < [latex]\frac { 3 }{ 2 } [/latex] .

The square root of \({ (x }^{ 4 }+\frac { 1 }{ { x }^{ 4 } } +2)\) is:

Distance between the points (1,0) and (0,1) is:

\(\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}\) is called _______ matrix.

When all the sides of the triangle are different in length, the triangle is called:

A quadrilateral having each angle equal to 90° is called ________.

Log p – Log q is same as:

The logarithm of any number to itself as base is:

A triangle having two sides congruent is called ______ triangle

If a, b ∈ R, only one of a = b or a < b or a > b holds is called ________ property.

In \(\sqrt [ 3 ]{ 35 } \) the radicand is:

Two points determine a line segment and three non-collinear points determine a:

Order of transpose of \([\begin{matrix} 2 & 1 \\ 0 & 1 \\ 3 & 2 \end{matrix}]\) is?

Factors of \({ 3x }^{ 2 }-x-2\) are:

The radical sign of \({ 4 }^{ \frac { 2 }{ 3 } }\) is __________.

The sum of lengths of any two sides of a triangle is ______ than the length of third side.

The factors of \({ x }^{ 2 }-5x+6\) are:

HCF of \({ a }^{ 2 }-{ b }^{ 2 }\) and \({ a }^{ 3 }-{ b }^{ 3 }\) is:

Which one of the following sets of lengths can be the lengths of the sides of a triangle?

The graph of y=7 will be __________.

The scientific notation of 96,000,000 is _______

A non-terminating, non-recurring decimal represents:

Midpoint of the points (2, −2) and (−2,2) is:

The integral part of the common logarithm of a number is called _________.

Distance between the points (0,2) and (−3,0) is:

If y = 2x + 1 and x = 2 then y = ______

If the capacity ‘c’ of an elevator is at most 1600 pounds then:

HCF of \({ p }^{ 3 }q-pq^{ 3 }\) and \({ p }^{ 5 }{ q }^{ 2 }-p^{ 2 }q^{ 5 }\) is: