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Q.

The value of $' λ'$ for which $x^{2} + 10 x + λ = 0$ is a perfect square is

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a

100

b

50

c

25

d

20

answer is D.

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Detailed Solution

$x^{2} + 10 x + λ = 0$ is a perfect square form roots are equal.

$b^{2} - 4 a c$

${(10)}^{2} = 4 (1) λ$

$100 = 4 λ$

$λ = 25$

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