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If the half total surface area of the c...

If the half total surface area of the cuboid is equal to the square of the length of its diagonal, then prove that the cuboid is cube.

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UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. By melting a solid iron sphere, 32 conical paper weights of equal volu...

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  2. The ratio of the volumes of a right circular cylinder and a sphere is ...

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  3. If the half total surface area of the cuboid is equal to the square o...

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  4. If 5 cos theta+ 12 sin theta = 13 show that tan theta = 12/5.

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  5. Solve: 4sqrt3 cos^2 theta-4 sin theta +sqrt3 = 0[0^@lethetale90^@]

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  6. Solve: 2 cos theta+ 2sqrt2 = 3 sec theta

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  7. Solve: 4 cos theta +3 sec theta = 4sqrt3

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  8. Show that -1lecos thetale1.

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  9. If cos theta+sin theta = sqrt2 cos theta, then show cos theta-sin thet...

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  10. If a sinx = b cos x = (2c tan x)/(1-tan^2 x) then show that (a^2-b^2)=...

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  11. If cos^2theta-sin^2 theta = tan^2 alpha, then show that cos^2 alpha -s...

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  12. If a cos theta+b sin theta = c then show that a sin theta- b cos theta...

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  13. If tan Ptheta= P tan theta, then show that (sin^2 P theta)/(sin^2 thet...

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  14. If (a^2-b^2)sin theta+ 2ab cos theta = a^2+b^2 then find the value of ...

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  15. If sec alpha = sec beta sec gamma+ tan beta tan gamma, then show that ...

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  16. if xsin^3theta+ycos^3theta =sin theta cos theta and x sin theta -y cos...

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  17. (1 + sec 20^2 + cot 70^@) (1 - cosec 20^@ + tan 70^@) equals

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  18. If (sec alpha-tan alpha)(sec beta-tan beta)(sec gamma-tan gamma) = (...

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  19. Find the value of sin^2(pi/16)+ sin^2 ((3pi)/16)+sin^2 ((5pi)/16)+sin^...

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  20. It (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 then show that (cos^4B)/(cos^...

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