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If x/(lm-n^2)=y/(mn-l^2)=z/(nl-m^2), the...

If `x/(lm-n^2)=y/(mn-l^2)=z/(nl-m^2)`, then show that lx+my+nz=0

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If the straight line lx+my+n=0 be a normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , then by the application of calculus, prove that (a^2)/(l^2)-(b^2)/(m^2)=((a^2+b^2)^2)/(n^2) .

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If x,y,z be variable quantities such that (x+y+z) is constant and (z+x-2y)(x+y-2z) prop yz then show that [2(y+z)-x]propyz .

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UNITED BOOK HOUSE-DAULATPUR DALUICACHA BHARATI VIDYALAYA-EXERCISE
  1. Find the value of x for which the points (x, – 1), (2, 1) and (4, 5) a...

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  2. What should be added to each of 6,15,20 and 43 to make the sums propo...

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  3. If x/(lm-n^2)=y/(mn-l^2)=z/(nl-m^2), then show that lx+my+nz=0

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  4. Prove that opposite angles of a cyclic quadrilateral are supplementary

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  5. Prove that the front angle formed at the centre of a circle by an arc,...

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  6. Two circles interest at A and B. P is a point on produced BA. PT and P...

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  7. AB and CD are two chords of a cricle. Extended BA and CD intersect at ...

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  8. Draw a triangle ABC whose BC = 5cm, BA = 5.5 cm and angleABC = 70^@ dr...

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  9. Geometrically calculate the value of sqrt(23). (Only traces of constru...

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  10. Find the value of cot^2 30^@-2cos^2 60^@- 3/4 sec^2 45^@-4sin^2 30^@.

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  11. If angleA+angleB = 90^@, show that 1+ (tan A)/(tan B) = sec^2A.

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  12. If 5 sin^2 theta+4 cos^2 theta = 9/2 , find the value of tan theta.

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  13. From a point on the roof of five storied building the angle of elevati...

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  14. A man standing in the midst of a field observes, a flying bird in his...

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  15. The length of the base diameter of a wooden toy of conical shape is 10...

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  16. The length and breadth of a rectangular field of the village are 20m a...

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  17. The length of outer an inner diameter of a right circular cylindrical ...

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  18. If the mean of the following frequency distribution table is 24 then f...

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  19. Calculate the median of the following data

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  20. Find the mode of the following data

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