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If the pair of lines given by (x^(2)+y^(...

If the pair of lines given by `(x^(2)+y^(2))cos^(2) theta=(x cos theta+ y sin theta)^(2)` are perpendicular to each other, then `theta=`

A

`alpha`

B

`2alpha`

C

`pi//2`

D

`pi//4`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE EXERCISE
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  8. The equation of the bisector of obtuse angle between the lines 12x - 5...

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  12. If one of the lines of the pair ax^(2)+2hxy+by^(2)=0 bisects the angle...

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  14. If the two pairs of lines ax^(2)+2pxy-ay^(2)=0 and bx^(2)+2qxy-by^(2)=...

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  15. If the paris x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)=0 are such that o...

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  16. The pair of lines 2x^(2)+3xy+5y^(2)=0 and 4x^(2)+21xy+25y^(2)=0 are

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  17. If the two pair of lines 2x^(2)+6xy+y^(2)=0 and 4x^(2)+18xy+by^(2)=0 a...

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  18. If 2x^(2)-5xy+2y^(2)=0 represents two equal sides of an isosceles tria...

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  19. The value of k such that the lines 6x^(2)+17xy+12y^(2)=0 and kx^(2)+5x...

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  20. The equation to the pair of lines through the origin and forming an eq...

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