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The line lx+my+n=0 intersects the curve ...

The line `lx+my+n=0` intersects the curve `ax^2 + 2hxy + by^2 = 1` at the point P and Q. The circle on PQ as diameter passes through the origin. Then `n^2(a+ b)` equals (A) `l^2+m^2` (B) `2lm` (C) `l^2-m^2` (D) `4lm`

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MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
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  5. Find the equations of straight lines which pass through the intersecti...

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  6. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  9. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  10. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  11. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  12. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  13. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  14. The equation of the line inclined at an angle of pi/4 to the X-a xi s ...

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  15. Consider a circles S with centre at the origin and radius 4. Four circ...

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  16. Obtain the equations of the straight lines passing through the point A...

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  17. A variable circle passes through the point A(a ,b) and touches the x-a...

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  18. Consider a family of circles passing through two fixed points A (3,7) ...

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  19. The circle C : x^(2) + y^(2) + kx + (1 + k)y – (k + 1) = 0 passes thro...

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  20. Let A, B, C be real numbers such that (i) (sin A, cos B) lies on a ...

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