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If x + y = k is a normal to the parabo...

If x + y = k is a normal to the parabola ` y^(2) = 12x ` then the value of k is

A

3

B

-1

C

1

D

9

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SURA PUBLICATION-MODAL QUESTION PAPER-PART - IV
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  3. Find the value of k for which the equations kx-2y+z=1, x-2ky+z=-2,x-2y...

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  4. Suppose z(1),z(2)andz(3) are the vertices of an equilateral triangle i...

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  5. If z = x + iy and arg((z - i)/(z + 2))= (pi)/(4). Show that x^(2) + y^...

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  8. If cot^(-1)((1)/(7))=theta, find the value of costheta.

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  9. For the ellipse 4x^(2)+y^(2)+24x-2y+21=0, find the centre, vertices, a...

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  14. Solve the following systems of linear equation by Cramer's rule: 3x...

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  15. Test for consistency and if possible solve the following system of equ...

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  16. If z = x + iy and arg ((z-1)/(z+1))=pi/2, show that x^(2)+y^(2)-1=0.

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  17. Sketch the graph of sinx in [-pi/2,pi/2]andsin^(-1) in [-1, 1].

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  18. Find the equation of the ellipse whose eccentricity is 1/2, one of the...

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  19. A tunnel through a mountain for a four lane highway is to have a ell...

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