Question

Find the value of ‘p’ for which the quadratic equations have equal roots.

(1)

(2)

(3)

(4)

(5)

(6)

Answer 1

(1)

Comparing this equation with_,

Now,

If the roots are equal, then

Hence, the required value of p is.

(2)

Comparing this equation with_,

Now,

If the roots are equal, then

Hence, the required value of p is.

(3)

Comparing this equation with_,

Now,

If the roots are equal, then

Hence, the required value of p is.

(4)

Comparing this equation with_,

Now,

If the roots are equal, then

Hence, the required value of p is.

(5)

Comparing this equation with _,

If the roots are equal, then

Hence, the required value of p is.

(6)

Comparing this equation with_,

If the roots are equal, then_.

Hence, the required value of p is.