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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 2019-2-EXERCISE
  1. Verify by the method of contradiction that sqrt(2) is irrational .

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  5. A fair coin 1 marked on one face & 6 on the other face & a fair die ar...

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  6. A fair coin 1 marked on one face & 6 on the other face & a fair die ar...

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

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  9. For all n ge 1 prove that 1^(2)+2^(2)+ 3^(2)+4^(2)+….+n^(2)= (n(n+1)...

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  10. Solve the following system of inequations in 2 variables graphically: ...

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  11. A group consists of 4 girls and 7 boys. In how ways can a team of 5 m...

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  12. State and prove Binomial theorem for a positive integer index.

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  13. Find the coordinates of the foot of the perpendicular from the point (...

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  14. Derive the formula to find the co-ordinates of a point which divide th...

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  15. Prove thatunderset(thetararr0)lim(Sintheta)/theta =1 , (theta being in...

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

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  17. (a)Derive geometrically that cos(x+y)=cos x cos y-sin x sin y.Hence de...

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

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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. Find the sum to n terms of the series 3 xx 8 + 6 xx 11 + 9 xx 14 + ....

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