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If (xr, yr) ; r= 1, 2, 3, 4 be the poin...

If `(x_r, y_r) ; r= 1, 2, 3, 4` be the points of intersection of the parabola `y^2 = 4ax` and the circle `x^2 + y^2+ 2gx +2fy +c=0`, then

A

`y_(1)-y_(2)+y_(3)-y_(4)=0`

B

`x_(1)+x_(2)+x_(3)+x_(4)=0`

C

`y_(1)y_(2)y_(3)y_(4)=16a^(2)`

D

`x_(1)x_(2)x_(3)x_(4)=c^(2)`

Text Solution

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-PARABOLA-EXERCISE LEVEL-1 (single correct answer type questions )
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  2. Which of the following equation does not represent a pair of li...

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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. A is a point on the parabola y^2=4a x . The normal at A cuts the parab...

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  5. The equation of a common tangent of the parabolas y^2= 4ax and x^2 = 4...

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  6. y= -2x+12a is a normal to the parabola y^(2)=4ax at the point whose d...

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  7. Let N be the foot of perpendicular to the x-axis from point P on the p...

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  8. If the area of the triangle inscribed in the parabola y^(2)=4ax with o...

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  9. Length of the tangent drawn from an end of the latus rectum of the par...

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  10. If the tangents at the extremities of a focal chord of the parabola x...

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  11. Equation of the tangent at a point P on the parabola y^(2)=4ax, the no...

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  12. An isosceles triangle is inscribed in the parabola y^2 = 4ax with its ...

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  13. Equation of a family of circle passing through the extremities of the ...

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  14. A triangle ABC is inscribed in the parabola y^(2)=4x such that A lies ...

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  15. P is a point on the parabola y^(2)=4ax whose ordinate is equal to its ...

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  16. The lacus of the middle points of the chords of the parabola y^(2)=4ax...

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  17. The lengths of the perpendiculars from the focus and the extremities o...

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  18. Locus of the point of intersection of the normals to the parabola y^(2...

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  19. The equation of the common tangent to the parabola y=x^2 and y=-(x-2)^...

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  20. If (xr, yr) ; r= 1, 2, 3, 4 be the points of intersection of the para...

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