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Show that the equation of the straight line passing through `(acos^(3)theta,asin^(3)theta)` and perpendicular to the straight line `xsintheta+ycostheta=a` is `xcostheta-ysintheta=acos2theta`.

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CHHAYA PUBLICATION-STRAIGHT LINE-EXERCISE 2B (Short Answer Type Questions )
  1. Find the angle which a line perpendicular to the line x-y+1=0 makes wi...

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  2. Find the coordinates of the foot of the perpendicular drawn from the p...

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  3. Show that the equation of the straight line passing through (acos^(3)t...

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  4. Find the equation of the straight line which bisects perpendicularly t...

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  5. Find the equation of the perpendicular bisector of the straight line -...

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  6. The straight line (x)/(a)+(y)/(b)=1 passes throught the point of inter...

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  7. The straight line 8x-18y+31=0 bisects perpendicularly the straight li...

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  8. Find the distance of the line 3x+y+4=0 from the poin (2,5) meansured ...

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  9. Let A(2,-5) and B(6,-1) be two given points Find the length of ortho...

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  10. The equations of the sides BC , CA and AB of the DeltaABC are 2x+y+...

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  11. A(-2,7),B(7,15),C(-1,-5)andD(h,k) are the vertices of a parallelogram...

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  12. Show that the points whose coordinates are (1,4) , (3,-2) and (-3,16)...

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  13. A straight line AB intersects the y-axis at B and the perpendicular t...

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  14. Find the equation of the straight line which pass through the point (3...

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  15. Find the equations of straight lines which are perpendicular to the st...

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  16. Find the equation of the straight line throught the origin and perpend...

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  17. The pair of straight lines x+2y-1=0,x+2y-5=0 are.

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  18. A pair of straight lines drawn through the origin form with the line ...

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  19. A ray of light passing through the point (1,2) reflects on the axis of...

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  20. A ray of light through (8,3) is reflected at (14,0) on the x - axis. F...

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