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If the equation `lambda(4 x-3)^2+4(2 y-7)^2right=mu(4 x-3 y+3)^2` represents a parabola and `lambda, mu` are least possible natural numbers, then `lambda+mu` is equal to

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CENGAGE-PARABOLA-Question Bank
  1. The, focall chord of the parabola (y-2)^2=16(x-1) is a tangent to the ...

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  2. A chord P Q is a normal to the y^2=4 a x at P and subtendsa right ang...

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  3. If radius of circle passing through the focus of parabola x^2=4 y and ...

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  4. The equation of latus rectum of a parabola is x+y=8 and cquation of th...

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  5. Normals of parabola y^2=4 x at P and Q meet at R(x2, 0) and tangents a...

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  6. Chord of the curve 3 x^2-y^2-2 x+4 y=0, which subtends a right angle a...

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  7. If the equation lambda(4 x-3)^2+4(2 y-7)^2right=mu(4 x-3 y+3)^2 repres...

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  8. Tangents are drawn from any point.on directrix of y^2=16 x to parabola...

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  9. Absoulte value of y -intercept of the common tangent to the parabola y...

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  10. Let y=x+1 be the axis of parabola, y+x-4=0 be the tangent of same para...

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  11. Let the parabola y=a x^2+b x+c has vertex at M(4,2) and a in[1,3] . If...

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  12. From the point (4,6), a pair of tangent lines is drawn to the parabola...

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  13. If the normal to a parabola y^2=4 a x at P meets the curve again in Q ...

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  14. A circle is drawn to pass through the extremities of the latus rectum ...

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  15. If (-2,7) is the highest point on the graph of y=-2 x^2-4 a x+k, ...

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  16. The tangent at P(1,2) to the parabola y^2=4 x meets the tangent at ver...

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  17. If three normals are drawn from the point (6,0) to the parabola y^2=4 ...

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  18. Square of the area of the triangle formed by end points of a focal cho...

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  19. Let S be the set all points (x, y) satisfying y^2 le 16 x . For points...

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  20. If the image of the parabola y=x^2 in the line x+y=1 is x+y^2=k y, the...

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