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A right-angled triangle A B C is inscrib...

A right-angled triangle `A B C` is inscribed in parabola `y^2=4x ,` where `A` is the vertex of the parabola and `/_B A C=pi/2dot` If `A B=sqrt(5),` then find the area of ` A B Cdot`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the locus of the middle points of chords of a parabola y^(2)=4ax ...

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  2. A quadrilateral is inscribed in a parabola y^2=4a x and three of its s...

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  3. A right-angled triangle A B C is inscribed in parabola y^2=4x , where ...

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  4. Let there be two parabolas y^2=4a x and y^2=-4b x (where a!=ba n d a ,...

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  5. The equation of aparabola is y^2=4xdotP(1,3) and Q(1,1) are two poin...

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  6. A P is perpendicular to P B , where A is the vertex of the parabola y^...

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  7. Find the value of p such that vertex of y=x^(2)+2px+13 is 4 units abov...

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  8. The point (a,2a) is interior region bounded by the parabola y^(2)=16x ...

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  9. Find the point where the line x+y=6 is a normal to the parabola y^2=8x...

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  10. Find the equation of the tangent to the parabola 9x^(2)+12x+18y-14=0 w...

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  11. Find the angle between the tangents drawn to y^(2)=4x, where it is int...

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  12. How many distinct real tangents that can be drawn from (0,-2) to th...

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  13. Find the angle at which the parabola y^(2)=4xandx^(2)=32y intersect.

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  14. The tangents at the points P and Q on the parabola y^(2)=4ax meet at T...

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  15. The tangents to the parabola y^2=4x at the points (1, 2) and (4,4) mee...

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

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

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

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

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

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