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Prove that the least focal chord of a pa...

Prove that the least focal chord of a parabolaa is it rectum.

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Prove that the least focal chord of a parabola is its latus rectum .

Prove that the least focal chord of a parabola is the latus rectum .

Prove that the normal at the extermities of a focal chord of a parabola intersect at right angles.

Show that the circle described on a focal chord of a parabola as diameter touches its directrix .

Prove that "The greatest chord of circle is its diameter".

Prove that the sum of the reciprocals of the segments of any focal chord of a parabola is constant .

If t_1a n dt_2 are the ends of a focal chord of the parabola y^2=4a x , then prove that the roots of the equation t_1x^2+a x+t_2=0 are real.

Find the locus of the point of intersection of the normals at the end of the focal chord of the parabola y^2=4a xdot

Show that the sum of the reciprocals of the segments of any focal chord of a parabola y^2=4ax is constant.

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2014-EXERCISE
  1. In the expansion of (root(3)(2)+1/root(3)(3))^nthe rationof the 7th te...

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  2. If the sum of sirst n terms of a G.P is p.sum of its first 2n terms is...

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  3. The equations of two sides of a square are 5x+12y-10=0 and 5x+12y+29=0...

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  4. If the straight line x/a+y/b=1is parallel to the line 4x+3y=6 and pas...

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  5. Find the equations of the circles which pass through the origin and cu...

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  6. Evaluate:lim(xrarr0)(sin(x^2+4x))/(x^3-5x^2+2x)

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  7. Find from the first principle,the derivative of tan 2x at x=pi/8

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  8. Show that the following statement is true by the method of contraposit...

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  9. Prove the following by contradiciton ."The sum of a rational and an ir...

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  10. What is the probability that a year,selected at random,in between 2001...

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  11. For a group of 200 students the mean and S.D of marks obtained by them...

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  12. Prove thatcos^2alpha+cos^2(120^@-alpha)+cos^2(120^@+alpha)=3/2

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  13. Prove that tan70^(@)=2tan50^(@)+tan20^(@).

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  14. Draw the structure of the following: SF4

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  15. state the fundamental theorm of algebra and solve the equation 3x^2-5i...

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  16. How many numbers lying between 100 and 1000 can be formed with the dig...

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  17. If S1,S2...Smdenote the sums of n terms of m numbers of A.P is whose f...

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  18. Prove that the least focal chord of a parabolaa is it rectum.

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  19. Find the equation of a hyperbola having coodinates of its vertices (+-...

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  20. Find the equation of an ellipse whose eccentricity is 1/2,coordinates ...

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