## Class 10 Maths Solved Past Paper 2019

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**Section B**

**Q2.**

**(i) Solve the equation ax**^{2}+4x-a=0 by completing square method. (a≠0)

^{2}+4x-a=0 by completing square method. (a≠0)

**(ii) Find ‘k’, if the roots of the equation (2k-1)x**^{2}+3kx+3=0 are equal.

^{2}+3kx+3=0 are equal.

**(iv) Use synthetic division to find ‘l’ and ‘m’ if (x-1) and (x+1) are factors of polynomial x**^{3}+3lx^{2}+mx-1.

^{3}+3lx

^{2}+mx-1.

**(v) ****The product of two positive consecutive numbers is 182. Find the numbers.**

**The product of two positive consecutive numbers is 182. Find the numbers.**

**(vi) ****Find x in the following proportion: **

**Find x in the following proportion:****(vii) ****Using componendo-dividendo theorem, solve the equation. **

**Using componendo-dividendo theorem, solve the equation.****(viii) The surface area ***S* of the sphere varies directly as the square of radius *r* and S=16π when r=2. Find r when S=36π

*S*of the sphere varies directly as the square of radius

*r*and S=16π when r=2. Find r when S=36π

**(ix) Resolved into partial fractions.**

**(x) If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,3,5,7,9}, B = {1,4,7,10} then verify that (A∩B)’ = A’ ∪ B’**

**(xi) Find a and b if ( 2a + 5, 3 ) = ( 7, b – 4 ).**

**(xii) A student has obtained following marks 82, 93, 86, 92 and 79 in 5 test of mathematics. Find the median.**

**(xiii) Find area of the sector of a circle of radius 16 cm, if the angle at the centre is 60°.**

**(xiv) Verify the identity: (tanΘ+cotΘ)tanΘ = sec**^{2}Θ

^{2}Θ

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