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If the lines represented by the equation...

If the lines represented by the equation `3y^2-x^2+2sqrt(3)x-3=0` are rotated about the point `(sqrt(3),0)` through an angle of `15^0` , one in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is

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CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
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  2. The condition that one of the straight lines given by the equation a x...

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  3. If the lines represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are ro...

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  4. A point moves so that the distance between the foot of perpendicula...

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  6. Find the point of intersection of the pair of straight lines represent...

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  7. Find the angle between the lines represented by x^(2)+2xysectheta+y^(2...

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  8. If the pair of lines sqrt(3)x^(2)-4xy+sqrt(3)y^(2)=0 is rotated about...

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  9. If the equation 2x^(2)+kxy+2y^(2)=0 represents a pair of real and dist...

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  10. If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two ...

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  11. If one of the lines of the pair a x^2+2h x y+b y^2=0 bisects the angle...

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  12. Prove that the equation 2x^(2)+5xy+3y^(2)+6x+7y+4=0 respresents a pai...

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  13. A line L passing through the point (2, 1) intersects the curve 4x^2+y^...

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  14. Show that straight lines (A^2-3B^2)x^2+8A Bx y+(B^2-3A^2)y^2=0 form wi...

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  15. If one of the lines denoted by the line pair a x^2+2h x y+b y^2=0 bise...

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  16. If the middle points of the sides BC, CA, and AB of triangle ABC are (...

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  17. Find the equations of the lines which pass through the origin and are ...

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  18. If (-2,6) is the image of the point (4,2) with respect to line L=0, th...

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  19. If the lines x+(a-1)y+1=0 and 2x+a^2y-1=0 are perpendicular, then find...

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  20. Find the eqution of the right bisector of the line segment joining the...

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