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If the pair of lines given by `(x^2+y^2)sin^2alpha=(xcosalpha-ysinalpha)^2` are perpendicular to each other then `alpha`=

A

`pi//2`

B

0

C

`pi//4`

D

`pi//3`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PAIR OF STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)
  1. The equation of the pair of lines passing through the origin whose sum...

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  2. The difference of the slopes of the lines represented by x^2(tan^2thet...

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  3. If the pair of lines given by (x^2+y^2)sin^2alpha=(xcosalpha-ysinalpha...

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  4. Through a point A on the x-axis, a staight line is drawn parallel to t...

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  5. the number of values of a for which the pair of lines represented by ...

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  6. The equation a(x^4+y^4)-4bxy(x^2-y^2)+6cx^2y^2=0 represents two pairs...

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  7. If one the lines in the pair of stright lines given by 4x^2+6xy+ky^2=0...

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  8. The equation of the pair of lines through (1,-1) and perpendicular to ...

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  9. The condition that one of the straight lines given by the equation ax^...

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  10. If the pair of lines x^2+2xy+ay^2=0 and ax^2+2xy+y^2=0 have exactly on...

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  11. The equations x-y=4 and x^2+4xy+y^2=0 represent the sides of

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  12. The triangle formed by the pair of line 3x^2+48xy+23y^2=0 and the line...

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  13. Equation of pair of lines passing through origin and making an angle T...

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  14. If 2x^(2)-3xy+y^(2)=0 represents two sides of a triangle and lx + my ...

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  15. If one angular bisector of a(x+1)^(2)+2h(x+1)(y-3)+b(y-3)^(2)=0 is 2x-...

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  16. If the pairs of lines 3x^2-2pxy-3y^2=0 and 5x^2-2qxy-5y^2=0 are such t...

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  17. The lines 36x^(2)-33xy-20y^(2)=0 are equally inclined to the line

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  18. The slope of angular bisector of line (ax+by)^2=c(bx-ay)^2,(cgto) are

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  19. If two lines represented by x^4+x^3y+cx^2y^2-xy^3+y^4=0 bisect the ang...

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  20. If the pair of lines ax^(2)+2hxy+by^(2)=0 (h^(2) gt ab) orms an equila...

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