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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-SAMPLE PAPER 1-EXERCISE
  1. Two students Anil and Ashima appeared in an examination . The probabi...

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  2. A letter is chosen at random from the word "ASSASSINATION" . Find the ...

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  3. A letter is chosen at random from the word 'ASSASSINATION' Find the pr...

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  4. In a survey of 600 students in a school, 150 students were found to be...

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  5. If the function from f:R rarr R is defined as f(x)=x^2,then draw the g...

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  6. Prove that : (sin 5x-2sin3x+sinx)/(cos5x-cosx)=tanx

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  7. Prove by mathematical induction 1+2+3+……+n(n(n+1))/(2).

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  8. Solve graphically 2x+y ge 4, x+y le 3, 2x-3y le 6 x ge 0, y ge 0

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  9. A group consists of 4 girls and 7 boys .In how many ways can a team o...

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

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

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

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  13. Derive a formula for the angle between two lines with slopes m(1) and ...

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  14. Derive the formula for the distance between two points(x1,y1,z1) and (...

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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. Prove Geometrically cos(x+y)=cosx,cosy-sinx.siny and hence prove that ...

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  18. (b)Find the sum of first n terns of the series 1^2+2^2+……+n^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. Find the derivative of(x^(2)-cosx)/sinx with respect to x ?

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