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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

0

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`3(pi)/(4)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -I
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  2. If the slope of one of the line represented by 2x^(2)+3xy+Ky^(2)=0 is...

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  3. If the pair of lines given by (x^(2)+y^(2))cos^(2) theta=(x cos theta+...

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  4. If the pair of lines a^(2)(x^(2)+y^(2))=(ax-by)^(2) are perpendicular...

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  5. If theta is the acute between the pair of lines x^(2)+3xy-4y^(2)=0 the...

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  6. If the equation of pair of bisectors of the angle between the pair of ...

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  7. If 2x + y - 4= 0 is a bisector of angles between the lines a(x-1) + b(...

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  8. The bisector of acute angle between the straight lines 4x+3y-6=0 and 5...

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  9. The equation of the bisector of the obtuse angle between the lines x -...

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  10. The equation of pair of angular bisectors of (a-b)x^(2)+4hxy-(a-b)y^(2...

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  11. 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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  12. Equation of pair of lines through (0,0) and forming an equilateral tri...

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

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  14. Area of the triangle formed by the lines 3x^(2)-4xy+y^(2)=0, 2x-y=6 is

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  15. The area of the triangle formed by the lines x^(2)-9xy+18y^(2)=0 and t...

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  16. Area of the triangle formed by the lines y^(2)-mxy=0 and x+y-m=0 is

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  17. Area of the triangle formed by the lines x^(2)-3xy+y^(2)=0 and x+y+1=0

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  18. If the area of the triangle formed by the pair of lines 8x^(2)-6xy+y^(...

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  19. The area of the equilateral triangle formed by the lines x^(2)-3y^(2) ...

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  20. The area of the equilaterial triangle formed by the pair of lines (ax+...

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