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If x, y, z are all different and not equ...

If x, y, z are all different and not equal to zero and
`|{:(1+x,,1,,1),(1,,1+y,,1),(1,,1,,1+z):}|` = 0 then the value of `x^(-1) + y^(-1) + z^(-1)` is equal to

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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2016-QUESTION BANK
  1. The maximum value of (1/x)^(x) is

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  2. The coefficient of variation of two distribution are 60 and 70. The st...

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  3. If x, y, z are all different and not equal to zero and |{:(1+x,,1,,...

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  4. If x = 2 + 3 cos theta and y = 1 -3 sin theta represent a circle then ...

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  5. If sin^(-1)x+sin^(-1)y=(pi)/(2), then x^(2) is equal to

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  6. If tan^(-1)(x^(2)+y^(2))=alpha then (dy)/(dx) is equal to

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  7. The vector equation of the plane which is at a distance of 3//sqrt(14)...

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  8. The equation of the normal to the curve y(1+x^(2))=2-x where the tang...

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  9. Find the value of tan ""pi/8.

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  10. The real part of (1-costheta + I sin theta)^(-1) is

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  11. If x^(m)y^(n) = (x + y)^(m +n) then (dy)/(dx) is equal to

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  12. The differential coefficient of log(10)x with respect to log(x)10 is

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  13. int(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000)x+cos^(1000)x) is equal to

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  14. The value of fe^(x)(x^(2)tan^(-1) x + tan^(-1) x + 1)/(x^(2) + 1) dx ...

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  15. The 11^(th) term in the expansion of (x+(1)/(sqrt(x)))^(14) is

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  16. The general solution of cot theta + tan theta = 2 is

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  17. If A = [{:(cos 2thet,,-sin 2theta),(sin 2theta,, cos 2theta):}] and A ...

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  18. If A is matrix of order m xx n and B is a matrix such that AB' and B'A...

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  19. The value of 1sin^(-1)(cos(53pi)/(5)) is

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  20. If 2 vec a . vec b = |vec a|.|vec b| then the between vec a and vec b ...

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