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Prove that the product of the lengths of...

Prove that the product of the lengths of the perpendiculars drawn from the points `( sqrt(a^(2) - b^(2) ), 0) and ( - sqrt(a^(2) - b^(2) ), 0)` to the line `(x)/( a) cos theta + (y)/( b) sin theta =1` is `b^2`.

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KUMAR PRAKASHAN-STRAIGHT LINES-Practice Work
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  2. Find equation of lines which bisects the quadrents.

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  3. Prove that the product of the lengths of the perpendiculars drawn from...

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  4. Find equation of line passes from middle of two parallel lines 9x + 6y...

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  5. Find length of perpendicular from origin to the lines passes from poin...

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  6. Find foot of perpendicular from point (2,3) on the line x+y+1=0.

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  7. Find the equation at line passes from point of intersection at lines x...

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  8. Find equation of line passes from point of intersection at lines 4x-3y...

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  9. Find equation of line passes from point of intersection at lines x-y-1...

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  10. If origin is shifted to point (1,-2) then find the new transformed for...

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  11. At which origin will be shifted so, that new coordinate at point (4,5)...

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  12. On which point we shift origin so that new transformed form of the equ...

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  13. Prove that area at triangle will remain same by shifting origin at any...

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  14. By shifting origin at (-2,3) find new transformed form at the equation...

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  15. Find equation of line passes from ( sqrt(3) ,-1) whose perpendicular d...

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  16. Two oppositive verticies of rectangle are (-3,1) and (1,1). Also equat...

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  17. Lines 3x+4y+5=0 and 4x-3y-10=0 intersects at point A. B is the point o...

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  18. Find image of point (-8, 12) with respect to line 4x+7y+ 13=0.

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  19. Two sides of the triangle are along the lines 3x-2y+6=0 and 4x+5y-20=0...

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  20. A(0,-1,-2), B(3,1,4) and C(5,7,1) are vertices of DeltaABD then find t...

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