Q. 235.0( 2 Votes )

# The value of <spa A. 1

B. –1

C. 2

D.

Answer :

When the straight lines 3x + 6y + 7 = 0 and 2x + ky = 5 are perpendicular the product of their slopes should be equal to –1 .

Slope of 3x + 6y + 7 = 0 is:

; ()

Slope of 2x + ky = 5 is:

Now we have .

∴ when we substitute the values of m1 and m2 we get:

⇒

⇒ 1 = (–1)×k

⇒ 1 = –k or k = –1

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