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Find the point on the curve y^2=4x which...

Find the point on the curve `y^2=4x` which is nearest to the point (2, 1).

A

`(1, -2)`

B

`(-2, 1)`

C

`(1, 2sqrt(2))`

D

`(1, 2)`

Text Solution

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The correct Answer is:
D
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AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-B
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  2. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

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  3. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

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  7. The equation of the chord of the ellipse x^(2) + 4y^(2) = 4 having th...

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  8. The equation of the passing through the of the ellipse (x^(2))/(16)+(y...

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  9. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

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  10. Find the locus of the foot of the perpendicular drawn from the cent...

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  11. find the common tangents of the circle x^2+y^2=2a^2 and the parabola...

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  12. The line l x+m y+n=0 is a normal to the ellipse (x^2)/(a^2)+(y^2)/(...

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  13. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

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  14. From a point P, two tangents are drawn to the parabola y^(2) = 4ax. I...

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  15. The centre of the ellipse 4x^(2) + 9y^(2) + 16x - 18y - 11 = 0 is

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  16. The length of the latus rectum of the ellipse 2x^(2) + 3y^(2) - 4x -...

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  17. The co-ordinates of foci of an ellipse 3x^(2)+4y^(2)+12x+16y-8=0 is :

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  18. If the line joining foci subtends an angle of 90^(@) at an extremity ...

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  19. In an ellipse the distance between the foci is 8 and the distance betw...

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