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If the line x+y=a touches the parabola y...

If the line `x+y=a` touches the parabola `y=x-x^2,` then find the value of `a`.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The tangents to the parabola y^2=4x at the points (1, 2) and (4,4) mee...

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  2. From an external point P , a pair of tangents is drawn to the parabola...

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  3. If the line x+y=a touches the parabola y=x-x^2, then find the value of...

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  4. Find the slopes of the tangents to the parabola y^(2)=8x which are nor...

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  5. Find the angle between the tangents drawn from (1, 3) to the parabola ...

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  6. Find the values of alpha so that the point P(alpha^2,alpha) lies insid...

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  7. The locus of the centre of a circle the touches the given circle exter...

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  8. If on a given base B C , a triangle is described such that the sum of ...

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  9. The parametric equation of a parabola is x=t^2+1,y=2t+1. Then find the...

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  10. If the focus of a parabola is (2,3) and its latus rectum is 8, then fi...

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  11. y^2+2y-x+5=0 represents a parabola. Find its vertex.

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  12. Find equation of parabola which has axis parallel to y-axis and which ...

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  13. Prove that the focal distance of the point (x ,y) on the parabola x^2-...

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  14. Find points on the parabola y^(2)-2y-4x=0 whose focal length is 6.

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  15. If the length of the common chord of circle x^2+y^2=4 and y^2=4(x-h) i...

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  16. From a variable point p on line 2x−y-1=0 pair of tangents are draw...

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  17. The locus of the middle points of the focal chords of the parabola, y^...

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  18. If the distance of the point (h,2) from its chord of contact w.r.t. pa...

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  19. TP and TQ are tangents to the parabola, y^(2)=4ax at P and Q. If the c...

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  20. Find the locus of midpoint of normal chord of parabola y^(2)=4ax.

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