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Find the equations of straight lines whi...

Find the equations of straight lines which pass through the intersection of the lines `x -2y-5=0, 7x +y =50` & divide the circumference of the circle `x^2 + y^2 =100` into two arcs whose lengths are in the ratio 2:1.

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The correct Answer is:
4x – 3y – 25 = 0 OR 3x + 4y – 25 = 0
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MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

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  2. One of the diameters of the circle circumscribing the rectangle ABCD i...

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  3. Find the equations of straight lines which pass through the intersecti...

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

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

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

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

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

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

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

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

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

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

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

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

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  19. A Rhombus ABCD has sides of length 10. A circle with centre ‘A’ passes...

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  20. Circles C(1) and C(2) are externally tangent and they are both interna...

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