Class 10 Maths Grand MCQs Tests Reduced Syllabus

One and only one circle can pass through ______ non collinear points.

If a/b = c/d then Componendo property is:

A fraction in which the degree of the numerator is less than the degree of denominator is called:

The fourth proportional w of x∶y∷v∶w is:

1/2 cosec45°=

The nature of roots of equation ax²+bx+c=0, is determined by:

How many common tangents can be drawn for two touching circles?

Partial fraction of (x+2)/((x+1)(x²+2)) are of the form:

The length of a chord and the radial segment of a circle are congruent, the central angle made by the chord will be:

If α,β are the roots of x²-x-1=0, then product of the roots 2α and 2β is:

If number of elements in set A is ‘3’ and in set B is ‘2’, then number of binary relations in A×B is:

If α,β are the roots of the equation px²+qx+r=0, then sum of the roots 2α and 2β is:

A circle has only one:

Two chords in a circle subtending two congruent central angles are:

In continued proportion a:b∷b:c , “c” is said to be ________ proportional to “a” and “b”.

The portion of a circle between two radii and an arc is called:

Tangents drawn at the ends of diameter of a circle are _______ to each other:

Find half the perimeter of a circle whose radius is 20 cm, (π=3.14):

A 4cm long chord of a circle subtends a central angle of 60°, the radial segment of this circle is:

x⁵/((x²+1)²) is:

Locus of a point in a plane equidistant from a fixed point is called:

The solution set of 4x²-16=0 is:

If b²-4ac<0, then the roots of the equation ax²+bx+c=0 are:

The arcs opposite to incongruent central angles of a circle are always:

The quadratic formula is:

A 4cm long chord subtends a central angle of 60°. The radial segment of this circle is of length:

How many tangents can be drawn from a point outside the circle?

A chord passing through the centre of a circle is called:

The value obtained by reciprocating the mean of the reciprocal of x_1,x_2,x_3,…..,x_n observations is called:

The domain of R={(0,2),(2,3),(3,3),(3,4)} is:

(x³+1)/((x-1)(x+2)) is:

A line which has only one point in common with a circle is called:

If α,β are the roots of 3x²+5x-2=0 , then "α+β" is:

The angles with same vertices in a segment of a circle are:

A deviation is defined as a difference of any value of the variable from a:

If α,β are the roots of 7x²-x+4=0 , then "αβ" is:

Point (-2,-3) lies in the quadrant:

A histogram is a set of adjacent:

If A⊆B, then A∪B is equal to:

Two linear factors of x²-15x+56=0 are:

The circular region bounded by two radii and the corresponding arc is called:

The fourth proportional w of x∶y∷v∶w is:

3π/4 radians is equal to:

Sum of the deviation of variable X from its mean is always:

Right bisector of the chord of a circle always passes through the:

Point (-1,4) lies in the quadrant:

The solution set of equation, 4x² - 16 = 0 is:

The measure of external angle of a regular hexagon is:

1/2 cosec45° is equal to:

The product of cube roots of unity is:

Partial fraction of (x²+1)/((x+1)(x-1)) are of the form:

If a chord of a circle subtends a central angle of 60°, then the length of the chord and the radial segment are:

If A⊆B, then A∩B is equal to:

The most frequent occurring observation in a data set is called:

In a continued proportion a∶b∷b∶c, ac=b², b is said to be _______ proportional between a and c.

Right bisector of the chord of a circle always passes through the ________ of circle.

Roots of the equation 4x²-4x+1=0 are:

The observations that divide a data set into four equal parts are called:

secθcotθ=

The opposite angles of any quadrilateral inscribed in a circle are:

The semi circumference and the diameter of a circle both subtend a central angle of:

Angle inscribed in a semi-circle is:

The length of the diameter of a circle is how many times the radius of the circle?

When θ=180° then P(x,y) lies on:

The measure which determines the middle most observation in a data set is called:

How many common tangents can be drawn for two disjoint circles?

If u/v=v/w=k , then:

If a circle passes through the vertices of a right angle ∆ABC with m(AC) ̅=3cm and
m(BC) ̅=4cm, m∠C=90° then the radius of the circle is:

The nature of the roots of equation ax² + bx + c = 0, is determined by:

The measure of the external angle of regular octagon is:

Through how many non-collinear points, can a circle pass?

Line segment joining any point of the circle to the centre is called:

If A⊆B, then A-B is equal to:

A circle has only one:

Standard form of quadratic equation is:

The fourth proportional w of x∶y∷v∶w is:

The value of x in proportion 4∶x∷5∶15 is:

A tangent line intersects the circle at:

Sum of the deviations of the variable x from its mean is always:

How many tangents can be drawn from a point outside the circle?

1/(1+sinθ)+1/(1-sinθ) is equal to:

If A⊆B, then A-B is equal to:

Locus of a point in a plane equidistant from a fixed point is called:

Sum of the cube roots of unity is:

The range of the relation R={(1,3),(2,2),(3,1),(4,4)} is:

A complete circle is divided into:

The measure of external angle of a regular octagon is:

An equation of the form 2x⁴-3x³+7x²-3x+2=0 are:

Partial fraction of (x-2)/((x-1)(x+2)) are of the form:

Find ‘x' in proportion 4∶x∷5∶15 is:

The product of complex cube roots of unity is:

Radii of a circle are:

The measures that are used to determine the degree or extent of variation in a data set are called measures of:

Two linear factors of x²-15x+56 are:

If the two circles touch externally, then the distance between their centres is equal to:

The simplest form of 450cm, 3m is:

The tangents at the end points of diameter of a circle are:

Point (-1 ,4) lies in the quadrant:

If a/b=c/d then Componendo property is:

If α,β are the roots of the equation px²+qx+r=0, then sum of roots 2α and 2β is:

15° is equal to:

The length of each side of a regular pentagon is 5cm. Its perimeter is:

In ratio a:b, the b is called ________. (‘b’ is the second term)

If α,β are the roots of 4x²+3px+p²=0, then α+β= ?

A∩A'=

The mean proportional of 2 and 128 is:

If u/v=v/w= k, then:

The sum of roots of (a+b) x²-ax+b=0 is:

The circle passing through the vertices of a triangle is known as:

The semi circumference and the diameter of a circle both subtend a central angle of:

The discriminant of quadratic equation 6x²-8x+3=0 is:

If number of elements in set A is ‘3’ and in set B is ‘2’, then number of binary relations in A×B is:

The opposite angles of any quadrilateral inscribed in a circle are:

In a continued proportion a∶b∷b∶c, , ‘c’ is said to be _______ proportional to a and b.

The domain of R={(0,2),(2,3),(3,3),(3,4)} is:

If b-4ac<0 , then roots of equation ax²+bx+c=0 are:

If R={(0,2),(2,3),(3,3),(3,4)} then Domain of R is:

If A has 3 elements and B has 2 elements, then number of all binary relations of A×B are:

If an arc of a circle subtends a central angle of 60°, then the corresponding chord of the arc will make the central angle of:

The extent of variation between two extreme observations of a data set is measured by:

The arcs opposite to incongruent central angles of a circle are always:

If two circles of radii 6cm and 2cm touch externally, then the distance between their centres is equal to:

Standard form of quadratic equation is:

Mean is affected by change in:

If A⊆B then A-B is equal to:

The mean of the squared deviations x_i observations from their arithmetic mean is called:

If A⊆B then A-B is equal to:

The third proportional of x² and y² is:

A function f:A→B is called _______ function if every element of the set B is an image of at least one element of the set A i.e. Range of f=B.

Each complex cube root of unity is _________ of each other.

Tangents drawn at the end points of the diameter of a circle are:

Power set of an empty set:

The solution set of 4x²-16=0 is:

Two tangents drawn to a circle from a point outside it are of _______ length.

Radii of a circle are:

If A=N, B=Z then A∩B=

3π/4 radians is equal to:

Partial fraction of (x²+1)/((x+1)(x-1)) are of the form:

Sum of the deviation of variable X from its mean is always:

If a∶b=c∶d then a∶ a-b=c∶ c-d is called theorem of:

The nature of roots of equation ax²+bx+c=0, is determined by:

According to the figure, central and inscribed angles subtended on the same arc AB. Then:

The product of cube roots of unity is:

An arc subtends a central angle of 40° then the corresponding chord will subtend a central angle of:

If two circles of radii 8cm and 4cm touch internally, then distance between their centres is:

If A and B are disjoint sets, then A∪B is equal to:

A line which has only one point in common with a circle is called:

A circle passes through the vertices of a right angled triangle ABC with mAC=3cm ,mBC=4cm and m∠C=90°. Radius of the circle is:

A line which has two points in common with a circle is called:

If b-4ac>0 , but not a perfect square then roots of ax²+bx+c=0 are:

The solution set of 5x²=15x is:

Angle inscribed in a semi-circle is:

According to the figure, if m∠3=75° then m∠1 and m∠2 are respectively

If a∶b=x∶y , then alternando property is:

If A⊆B then A∩B is equal to:

The most frequent occurring observation in a data set is called:

If α,β are the roots of x² - 5x + p = 0, then αβ is:

cosec² θ - cot² θ = ?

A line which is perpendicular to the radial segment of a circle at its outer end is called:

3π/4 radians is equal to:

The semi-circumference and the diameter of a circle both subtend a central angle of:

X-Y=?

Locus of a point in a plane equidistant from a fixed point is called:

A line which has two points in common with a circle is called:

sin² 3θ/2+cos² 3θ/2=

Tangents drawn at the end points of the diameter of a circle are:

The angles subtended by an arc at the circumference of a circle are:

If u/v=v/w=k then:

The harmonic mean of data 4, 5 is:

(2x+1)/((x+1)(x-1)) is:

The nature of roots of the equation ax²+bx+c=0 is determined by:

The most frequent occurring observation in a data set is called:

Variance of series 5,5,5,5,5 is:

cosec² θ - cot² θ = ?

Partial fraction of (x-2)/((x+1)(x²+2)) are of the form:

The product of cube roots of unity is:

If b²-4ac<0 , then the roots are:

If A and B are two disjoint sets, then A∪B is equal to:

If b=0 in a quadratic equation ax²+bx+c=0 then the equation is called:

A fraction in which the degree of the numerator is equal to or greater than the degree of denominator is called: