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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; t in R ,` 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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  2. Let A and B be two points on a parabola y^2 = x with vertex V such th...

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  3. The vertex of the parabola whose parametric equation is x=t^2-t+1,y=t^...

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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 2bx+3cy+4d=0 passes through the points of interse...

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  6. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

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

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  8. If the normals to the parabola y^2=4a x at P meets the curve again at ...

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  9. If the normals at P, Q, R of the parabola y^2=4ax meet in O and S be...

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  10. Length of the shortest normal chord of the parabola y^2=4ax is

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  11. The largest value of a for which the circle x^2 +y^2 = a^2 falls total...

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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 of y^2=4x are the normals to x^2=4b y , 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 (x1,x2) and (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 in P and ...

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  17. An equilateral triangle SAB in inscribed in the parabola y^2 = 4ax hav...

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  18. C is the centre of the circle with centre (0,1) and radius unity. y=ax...

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  19. Let S be the focus of y^2=4x and a point P be moving on the curve such...

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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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