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The condition that one of the straight lines given by the equation `ax^2+2hxy+by^2=0 " may coincide with one of those given by the equation " a'x^2+2h'xy+b' y^2=0` is

A

`(ab' -a'b)^2 =4(ha'-h'a)(bh'b'h)`

B

`(ab' -a'b)^2 =(ha'-h'a) (bh'-b'h)`

C

`(ha'-h'a)^2 =4(ab'-a'b)(bh'-b'h)`

D

`(bh'-b'h)^2=4(ab' -a'b)(ha'-h'a)`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-PAIR OF STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)
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