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Find the coordinates of a point on the p...

Find the coordinates of a point on the parabola `y=x^2+7x+2` which is closest to the straight line `y=3x-3.`

A

(-2, -8)

B

(1, 10)

C

(2, 20)

D

(-1, -4)

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A
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FIITJEE-PARABOLA-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - I)
  1. The equation of the tangent at the vertex of the parabola x^(2)+4x+2y=...

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  2. BC is latus rectum of a parabola y^(2)=4ax and A is its vertex, then m...

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  3. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

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  4. The angle between the tangents drawn form the point (3, 4) to the para...

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  5. If the line x + y - 1 = 0 touches the parabola y^(2)=kx, thn the value...

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  6. The curve described parametrically by x = t^2 + t +1, y = t^2 - t + 1 ...

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  7. Two parabolas y^(2)=4a(x-lamda(1))andx^(2)=4a(y-lamda(2)) always touch...

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  8. The angle between the tangents drawn form the point (3, 4) to the para...

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  9. Equation of common tangent of parabola y ^(2) = 8x and x ^(2) + y =0 i...

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  10. If the normals drawn at the end points of a variable chord PQ of the p...

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  11. If it is not possible to draw any tangent from the point (1/4, 1) to t...

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  12. The number of focal chord(s) of length 4/7 in the parabola 7y^(2)=8x i...

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  13. The ends of a line segment are P(1, 3) and Q(1,1), R is a point on th...

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  14. If (h,k) is a point on the axis of the parabola 2(x-1)^2 + 2(y-1)^2 = ...

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  15. If the tangents at two points (1, 2) and (3, 6) as a parabola intersec...

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  16. The tangent and normal at the point P(4,4) to the parabola, y^(2) = 4x...

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  17. The triangle formed by the tangent to the parabola y=x^(2) at the poin...

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  18. A parabola y^(2)=4axandx^(2)=4by intersect at two points. A circle is ...

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  19. Consider a circle with its centre lying on the focus of the parabola, ...

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  20. Show that the locus of a point that divides a chord of slope 2 of the ...

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