Sample Test Paper for Class 10- Quadratic Equations

Que 1--- Find quadratic equation whose solution set is 

a) {2,-3}

b) { -3,2/5}

Que 2--. Find value of k for which x=3 is the solution of equation

(k+2)x²-kx+6=0

Que 3--- Find set of values of k for which the equation. px²-5x+p=0 has real and equal roots

Que 4 -- Find set of values of k for which the equation. 2x²+kx+2=0 has real roots

Que 5 -- Find set of values of k for which the equation. kx²+2x+1=0 has distinct roots

Que 6-- Find roots of equation 

             3(2x-1)². + 4(2x-1) -. 4 = 0

Que 7 -- What is the nature of roots of equation

15x²-11x+3=0

Que 8 -- If one root of equation 

 4x²-2x+p- 4=0 is reciprocal of other then find the value of p

Que 9-- Which constant should be added to solve quadratic equation

4x²-√3x+5=0

Que 10 -- Solve for x 

(x+2)/(x+3). = (2x-3)/(3x-7)

d) none of these

Ans (a)

Mock Test Series

Que 1

The roots of the given equation is 

(p-q)x^2+(q-r)x+(r-p)=0

a) (p-q)/(r-p),1

b) (q-r) / (p-q),1

c) (r-p)/ (p-q),1

d) 1,(q-r)/(p-q)

Ans ( c)

Que 2

Number of real roots of the equation

(6-x)^4+(8-x)^4=16

a) 4

b) 2

c) 0

d) none of these

Ans (b)

Que 3

If the product of the roots of the equation

(a+1)x^2+(2a+3)x+(3a+4)=0 is 2 then the sum of roots is 

a) 1

b) -1

c) 2

d) -2

Ans (b) 

Que 4 

If the equation 2x^2+3x+5p =0 and x^2+2x+3p =0 have a common root then value of p is 

a) 0

b) -1

c) 0,-1

d) 2,-1

Ans (c)

Que 5

If p is one root of equation 4x^2+2x-1=0 then other root is 

a) 4p^3-3p

b) 4p^3+3p

c) p-1/2

d) 0

Ans (a) 

Que 6

If one root is square of the other root of the equation

X^2+px+q=0 then relation between p and q 

a) p^3-(3p-1)q+q^2=0

b) p^3- (3p+1)q+q^2=0

c) p^3+ (3p-1)q+q^2=0

d) p^3-(3p+1)q+q^2=0

Ans (a)

Que 7

If the roots of the quadratic equation

x^2+ px+q=0 are tan 30°,tan 15° then 

value of 2+q-p is 

a) 3

b) 0

c) 1

d)2

Ans ( a) 

Que 8

If one root of the equation x^2+ax+12=0 is 4

while the equation x^2+ax+b=0 has equal roots then value of b 

a) 4/49

b) 49/4

c) 7/4

d) 4/7

Ans ( b)

Que 9

If x=✓1+✓1+✓1+....... then x is equal to

a) (1+√5)/2

b) (1-√5)/2

c) 1

d) none of these

Ans (a)

Que 10

The values of x satisfying |x-4|+|x-9|=5 is

a) x=4,9

b) 4<x<9

c) x>4 or x<9

d) none of these

Ans (a)

Thu Jan 12, 2023