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If p is the length of perpendicular from...

If `p` is the length of perpendicular from the origin to the line whose intercepts on the axes are `a and b`, then show that `(1)/( p^2) = (1)/( a^2) + (1)/( b^2)`.

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`(1)/( p^2) = (1)/( a^2) + (1)/( b^2)`
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KUMAR PRAKASHAN-STRAIGHT LINES-Exercise : 10.3
  1. Reduce the following equations in intercept form and find their interc...

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  2. Reduce the following equation in normal form. Find their perpendicular...

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  3. Reduce the following equation in normal form. Find their perpendicular...

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  4. Reduce the following equation in normal form. Find their perpendicular...

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  5. Find the distance of the point (-1, 1) from the line 12(x+6) = 5(y-2).

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  6. Find the points on the X-axis, whose distances from the line (x)/(3) +...

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  7. Find the distance between following pair of parallel lines : (i) 15x...

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  8. Find the distance between following pair of parallel lines : (ii) l(...

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  9. Find equation of the line parallel to the line 3x-4y+2=0 and passing t...

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  10. Find equation of the line perpendicular to the line x-7y+5=0 and havin...

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  11. Find angles between the lines sqrt(3) x +y=1 and x+ sqrt(3) y=1.

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  12. The line through the points (h,3) and (4,1) intersects the line 7x-9y-...

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  13. Prove that the line through the point (x1, y1) and parallel to the lin...

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  14. Two lines passing through the point (2,3) intersects each other at an ...

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  15. Find the equation of the right bisector of the line segment joining th...

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  16. Find the coordinates of the foot of perpendicular from the point (-1,3...

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  17. The perpendicular from the origin to the line y=mx+c meets it at the p...

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  18. If p and q are the lengths of perpendiculars from the origin to the li...

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  19. In the triangle ABC with vertices A(2,3), B(4,1) and C(1,2), find the ...

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  20. If p is the length of perpendicular from the origin to the line whose ...

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