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Consider the parabola y^2=4xdot Let A-=(...

Consider the parabola `y^2=4xdot` Let `A-=(4,-4)` and `B-=(9,6)` be two fixed points on the parabola. Let `C` be a moving point on the parabola between `Aa n dB` such that the area of the triangle `A B C` is maximum. Then the coordinates of `C` are (a) `(1/4,1)` (b) `(4,4)` (c) `(3,2/(sqrt(3)))` (d) `(3,-2sqrt(3))`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If two chords drawn from the point A(4,4) to the parabola x^2=4y are b...

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  2. Statement 1: If the endpoints of two normal chords A Ba n dC D (normal...

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  3. Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...

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  4. The mirror image of the parabola y^(2)=4x in the tangent to the parabo...

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  5. Two straight lines are perpendicular to each other. One of them touche...

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  6. If the tangents and normals at the extremities of a focal chord of a ...

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  7. Radius of the circle that passes through the origin and touches the ...

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  8. If A(1)B(1)andA(2)B(2) are two focal chords of the parabola y^(2)=4ax,...

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  9. The tangent and normal at P(t), for all real positive t, to the parabo...

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  10. y=x+2 is any tangent to the parabola y^2=8xdot The point P on this tan...

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  11. Two parabola have the same focus. If their directrices are the x-axis ...

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  12. The triangle PQR of area 'A' is inscribed in the parabola y^2=4ax such...

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  13. The length of the chord of the parabola y^2=x which is bisected at th...

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  14. The circle x^2+y^2=5 meets the parabola y^2=4x at P and Q . Then the l...

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  15. A line is drawn form A(-2,0) to intersect the curve y^2=4x at P and Q ...

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  16. Let y=f(x) be a parabola, having its axis parallel to the y-axis, whi...

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  17. Two mutually perpendicular tangents of the parabola y^2=4a x meet the ...

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  18. Let S be the focus of y^2=4x and a point P be moving on the curve s...

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  19. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of ...

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  20. If y1, y2, y3 be the ordinates of a vertices of the triangle inscr...

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