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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-NAVA NALANDA-EXERCISE
  1. Prove that the inequations (2x+1)/(7x-1)>5and (x+7)/(x-8)>2have no sol...

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  2. Exhibit graphically the solution region of the following system of 'in...

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  3. Prove that the product of the lengths of the perpendiculars drawn from...

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  4. Find the equation of a circle which touches both the axes and the line...

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  5. The focus of a parabola is (1,5)and its directrix is x+y+2=0.Find the...

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  6. 3(1-x) lt 2(x+4)

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  7. Prove that every function can be expressed as the sum of an -even and ...

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  8. A,B,C are three finite sets such that n(A)=17,n(B)=13,n(C)=15,n(AcapB)...

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  9. Draw the graph of f(x)=|x-1|+|x-2|.

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  10. Whats is the probability of arrangement of the letters of the word SOC...

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  11. The mean and standard deviation of 100 observations were calculated as...

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  12. Prove that tan6^@tan42^@tan66^@tan78^@=1

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  13. Solve :cos3x+cos2x=sin((3x)/2)+sin(x/2), (0lexlepi)

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  14. if (1-ix)/(1+ix)=a-ib,then prove that a^2+b^2=1(a,b x are real).

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  15. Solve graphically :|x-y|ge3.

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  16. How many different numbers of 4 digits each can be formed with the dig...

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  17. Solve :12x^4-56x^3+89x^2-56x+12=0

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  18. Show that the area of the triangle formed by the lines y = m(1) x + c(...

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  19. Find the equation of the circle described on the common chord of the c...

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  20. Show that the sum of the reciprocals of the segments of any focal cho...

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