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If p and q are the lengths of perpendicu...

If `p and q` are the lengths of perpendiculars from the origin to the lines `x cos theta - y sin theta = k cos 2 theta and x sec theta + y cosec theta=k` respectively, prove that `p^(2) + 4q^(2) = k^(2)`.

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NCERT GUJARATI-STRAIGHT LINES-EXERCISE 10.3
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  2. Reduce the following equations into intercept form and find their inte...

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

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  7. Find equation of the line parallel to the line 3x - 4y + 2 = 0 and pa...

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

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  9. Find angles between the lines sqrt3x + y = 1 " and " x + sqrt3y = 1.

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

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

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

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

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

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

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

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

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

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