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Question

The equation x2+k1y2+k2xy=0 represents a pair of perpendicular lines, if


A

k1=-1

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B

k1=2k2

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C

2k1=k2

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D

None of these

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Solution

The correct option is A

k1=-1


Explanation for the correct option:

Find the value of k1.

We know that, a pair of straight lines represent perpendicular lines, if the sum of coefficient of x2 and coefficient of y2 is equal to zero.

The equation x2+k1y2+k2xy=0 of pair of perpendicular liines is given.

So,

1+k1=0⇒k1=-1

Therefore, the value of k1 is -1.

Hence, the option A is correct .


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