CBSE X Quadratic Equations practice questions

Question 1

Find the roots of 1/x−1/(x−2)=3, with x≠0,2.

Accepted Answer

1+√3/3 and 1−√3/3

Answer

1+√3 and 1−√3

Answer

−1+√3/3 and −1−√3/3

Answer

2+√3/3 and 2−√3/3

Question 2

If ax²+bx+c=0 has equal roots and a≠0, what is c?

Accepted Answer

b²/(4a)

Answer

−b²/(4a)

Answer

−b/(2a)

Answer

b/(2a)

Question 3

Solve (x+1)/(x−1)−(x−1)/(x+1)=5/6, x≠±1.

Accepted Answer

x=5 or x=−1/5

Answer

x=−5 or x=1/5

Answer

x=5 or x=1/5

Answer

x=1 or x=−1

Question 4

Which equation has two distinct real roots?

Accepted Answer

x²+x−5=0

Answer

2x²−3√2 x+9/4=0

Answer

x²+3x+2√2=0

Answer

5x²−3x+1=0

Question 5

Raj drives 400 km at x km/h. Ajay drives the same distance at (x+5) km/h and takes 4 hours less. Find Raj’s speed.

Accepted Answer

20 km/h

Answer

15 km/h

Answer

25 km/h

Answer

30 km/h

Question 6

A natural number increased by 12 equals 160 times its reciprocal. Find it.

Accepted Answer

8

Answer

10

Answer

16

Answer

20

Question 7

A rectangle’s diagonal is 60 m longer than its shorter side, and its longer side is 30 m longer than its shorter side. Find its sides.

Accepted Answer

90 m and 120 m

Answer

60 m and 90 m

Answer

30 m and 60 m

Answer

120 m and 150 m

Question 8

Find the roots of 2x²−5x+3=0.

Accepted Answer

1 and 3/2

Answer

−1 and −3/2

Answer

1 and 2/3

Answer

3 and 1/2