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Let P be the point (1,0) and Q be a poin...

Let P be the point (1,0) and Q be a point on the locus `y^(2)=8x`. The locus of the midpoint of PQ is

A

`x^2-4y+2=0`

B

`x^2+4y+2=0`

C

`y^2+4y+2=0`

D

`y^2-4y+2=0`

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The l...

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  3. The axis of a parabola is along the line y=x and the distance of its v...

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  4. In a school, all pupils play either Hockey or Football or both. 400 pl...

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  5. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

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  6. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

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  7. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  8. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  9. Find slope of tangent to the curve if equation is x^2 + y^2 = 9

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  10. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

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  11. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+"...

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  12. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then,

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  13. If a parabola has the origin as its focus and the line x = 2 as the ...

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  14. In a school, there are 30 teachers who teach Mathematics or Physics. O...

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  15. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

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  16. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  17. Of the 125 students in an elementary school, 89 students play checkers...

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  18. What is the 5th term of this sequence 9, 13, 17, ...?

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  19. In a group of 400 people, 250 can speak Punjabi and 200 can speak Engl...

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  20. If f (x) = a cos (bx + c) + d, then what is the range of f (x)?

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