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Derive the equation of the ellipse in th...

Derive the equation of the ellipse in the form `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`.

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Define ellipse and derive its equation in the form (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1(a gt b) .

If the area of the auxillary circle of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

The equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the end of the latus rectum in the first quadrant is

If the area of the auxilliary circle of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

AOB is the positive quadrant of the ellipse (X^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 , where OA =a, OB =b. The area between the arc AB and the chord AB of the ellipsed is

If e is the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , (altb) then

Find the equation of hyperbola in the form (x^2)/(a^2)-(y^2)/(b^2)=1 , given that length of transverse axis = 10 and eccentricity = 2.

The locus of the middle point of the portion of a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the axes is the curve

OSWAAL PUBLICATION-SOLVED PAPER 2017-1-EXERCISE
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  4. Verify by the method of contradiction that sqrt(2) is irrational .

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  8. Prove that underset(xrarr0)lim(sinx/x=1) ?

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  9. 1^(2)+2^(2)+3^(2)+............+n^(2)=(n(n+1)(2n+1))/6 forall n in N.

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  10. Define a modulus function . Draw its graph. Also write down its domai...

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  11. A group consists of 7 boys and 5 girls . Find the number of ways in wh...

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  12. State and prove Bionomial theorem for any positive integer n.

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  13. If p is the length of perpendicular from origin to the line whose int...

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  14. (cos 4x+cos3x+cos2x)/(sin 4x+sin3x+sin2x)=cot3x

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  15. Solve the following system of inequalities graphivally 2x+y>+4,x+yle3,...

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  16. Find the mean deviation about median for the following data:

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  17. To cos(A+B)=cosx.cosy - sin x sin "and hence find "cos75^(@)

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  18. Find the sum to n terms of the series 1^(2)+(1^(2)+2^(2))+(1^(2)+2^(2)...

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  19. Derive the equation of the ellipse in the form (x^(2))/(a^(2))+(y^(2))...

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  20. (b) Find the derivative of (x^(5) - cos x)/(sin x) with respect to x.

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