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The curve described parametrically by x=...

The curve described parametrically by `x=t^2+t+1` , and `y=t^2-t+1` represents. (a) a pair of straight lines (b) an ellipse (c) a parabola (d) a hyperbola

A

a pair of lines

B

an ellipse

C

a parabola

D

a hyperbola

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

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  2. If the focus of a parabola is (-2,1) and the directrix has the equatio...

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  3. If the focus and the vertex of a parabola are (2,3) and (-1,1) respect...

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  4. What is the equation of the parabola, whose vertex and focus are on th...

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  5. The parabola y^2 = kx makes an intercept of length 4 on the line x-2y...

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  6. Find the equation of the parabola whose focus is(1,1) and equation of ...

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  7. The focus of the parabola y^2=x+4y+3, is :

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  8. A variable circle is drawn to touch the line 3x – 4y = 10 and also t...

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  9. Find the coordinates of any point on the parabola whose focus is (0, 1...

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  10. The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola. Find the va...

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  11. The point (a ,2a) is an interior point of the region bounded by the pa...

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  12. Consider two points A(at1^2,2at1) and B(at2^2,2at2) lying on the parab...

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  13. Locus of trisection point of any arbitrary double ordinate of the para...

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  14. The equation of the chord of contact of tangents from (2, 5) to the pa...

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  15. The line x-y+2=0 touches the parabola y^2 = 8x at the point (A) (2, -4...

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  16. The locus of the midpoint of the segment joining the focus to a moving...

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  17. If the tangent at (1,7) to curve x^(2)=y-6 touches the circle x^(2)+y...

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

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  19. At the point of intersection of the curves y^2=4ax" and "xy=c^2, the t...

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  20. If the line px + qy =1m is a tangent to the parabola y^(2) =4ax, then

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