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The vertex of the parabola whose paramet...

The vertex of the parabola whose parametric equation is `x=t^(2)-t+1,y=t^(2)+t+1,tinR`, is

A

(1,1)

B

(2,2)

C

(3,3)

D

`(1/2,1/2)`

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The correct Answer is:
A
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ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
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  3. The vertex of the parabola whose parametric equation is x=t^(2)-t+1,y=...

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  4. The circle x^(2)+y^(2)+2lamdax=0,lamdainR, touches the parabola y^(2)=...

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  5. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of int...

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  6. Evaluate int 18x^2 dx.

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  7. Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...

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  8. Evaluate int 22x^2 dx.

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  9. The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...

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  10. Evaluate int 23x^2 dx.

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  11. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

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  12. From a point (sintheta,costheta), if three normals can be drawn to the...

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  13. If two different tangents to y^2=4x are the normals to x^2=4 by, then

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  14. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

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  15. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

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  16. A line is drawn from A(-2,0) to intersect the curve y^2=4x at P and Q ...

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  17. Find the length of the side of an equilateral traingle inscribed in th...

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  18. Let C be a circle with center (0,1) and radius unity. P is the parabol...

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  19. Evaluate int 24x^2 dx.

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  20. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

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