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The equation x = t^(2) + 1 and y = 2t + ...

The equation `x = t^(2) + 1 and y = 2t + 1`, where t is any real number, are the parametric equation of the parabola
(i) `y^(2) - 4x - 2y + 5 = 0 ` (ii) `y^(2) + 4x - 2y + 5 = 0 ` (iii) ` y^(2) - 4x + 2y + 3 = 0` (iv) ` y^(2) - 4x - 2y - 5 = 0`

A

`y^(2) - 4x - 2y + 5 = 0 `

B

`y^(2) + 4x - 2y + 5 = 0 `

C

` y^(2) - 4x + 2y + 3 = 0`

D

` y^(2) - 4x - 2y - 5 = 0`

Text Solution

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The correct Answer is:
A
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ICSE-CONIC SECTIONS -Multiple Choice Questions
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  2. The equation of the directrix of the parabola x^(2) - 4x - 8y + 12 = ...

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  3. The equation x = t^(2) + 1 and y = 2t + 1, where t is any real number,...

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  4. If the latus rectum of an ellipse is equal to half of minor axis, t...

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  5. If the eccentricity of and ellipse is (5)/(8) and the distance betw...

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  6. The equation of ellipse whose foci are (pm 3, 0) and length of semi-ma...

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  7. The equation of ellipse whose vertices are (pm 5, 0) and foci are (...

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  8. The length of latus rectum of the ellipse 3x^(2) + y^(2) = 12 is (i)...

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  9. The equation of the hyperbola whose foci are (0, pm 13) and length of...

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  10. The equation of the hyperbola with centre at the origin the length ...

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  11. The equation of the hyperbola whose foci are (pm 4, 0) and length o...

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  12. The equation of the hyperbola whose vertices are at (0, pm6) and ecce...

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  13. The difference between the lengths of the major axis and the latus ...

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  14. The sum of focal distances of any point on the ellipse 9x^(2) + 16y^...

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  15. The eccentricity of the hyperbola whose latus-rectum is 8 and length o...

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  16. The eccentricity of the conic 9x^(2) + 25y^(2) - 18 x - 100 y = 116 i...

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  17. The length of latus-rectum of the hyperbola x^(2) - 2y ^(2) - 2x + 8...

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  18. If the equation (x^(2))/( 3 - lambda) + (y^(2))/(lambda - 8) + 1 = 0 ...

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  19. If the line x + y = 1 touches the parabola y^(2) = kx , then the val...

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  20. If the line y = x +k touches the ellipse 9x^(2) + 16y^(2) = 144, the...

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