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Consider the parabola y = x^(2) + 7x + 2...

Consider the parabola `y = x^(2) + 7x + 2` and the straight line y = 3x -3.
What are the coordinates of the point on the parabola which is closest to the straight line?

A

`(sqrt(10))/(2)`

B

`(sqrt(10))/(5)`

C

`(1)/(sqrt(10))`

D

`(sqrt(5))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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PUNEET DOGRA-CONIC SECTION-PREV YEAR QUESTIONS
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  2. Consider the parabola y = x^(2) + 7x + 2 and the straight line y = 3x ...

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  3. Consider the parabola y = x^(2) + 7x + 2 and the straight line y = 3x ...

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  4. What is the curve which passes through the point (1,1) and whose slope...

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  5. Consider any point P on the ellipse (x^(2))/(25)+(y^(2))/(9)=1 in the...

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  6. The eccentricity of the hyperbola 16x^(2)-9y^(2)=1 is?

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  7. The point on the parabola y^(2) = 4ax nearest to the focus has its abs...

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  8. The hyperbola (x^(2))/(a^(2)) -(y^(2))/(b^(2))=1 passes through the po...

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  9. What is the length of the latus rectum of an ellipse 25x^(2)+16y^(2)=4...

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  10. What is the equation of parabola whose vertex is at (0, 0) and focus i...

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  11. What is the sum of the major and minor axes of the ellipse whose eccen...

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  12. The foci of the hyperbola 4x^(2)-9y^(2)-1=0 are:

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  13. The axis of the parabola y^(2)+2x=0 is :

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  14. A point P moves such that its distances from (1 , 2) and (-2 , 3) are ...

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  15. The sum of the focal distances of a point on the ellipse (x^(2))/(4)+ ...

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  16. The sum of focal distances of a point on the ellipse x^(2)/4+y^(2)/9=1...

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  17. The eccentricity e of an ellipse satisfies the condition.

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  18. What is the eccentricity of the conic 4x^(2)+9y^(2)=144?

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  19. What are the points of intersection of the curve 4x^(2)-9y^(2)=1 with ...

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  20. What is the locus of points, the difference of whose distances from tw...

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