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If the lines (x-1)/2=(y+1)/3=(z-1)/4a n ...

If the lines `(x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1` intersect, then find the value of `kdot`

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GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- OCTOBER 2014-SECTION - II
  1. If the lines (x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1 intersect...

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  2. If X is the a random variable with probability mass function P(x) =...

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  3. If sec((x+y)/(x-y))=a^(2),"then "(d^(2)y)/(dx^(2))=......

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  4. If y=sin^(-1)(3x)+sec^(-1)((1)/(3x)), find (dy)/(dx).

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  5. Evaluate : intx log x dx

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  6. if int0^k (dx)/(2+8x^2)=pi/16 then find the value of k

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  7. The probability that a certain kind of component will survive a check ...

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  8. Find the area of the region bounded by the curve y = sinx , ...

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  9. Examine the continuity of the following function at given point : f(...

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  10. If x=phi(t) is a differentiable function of 't', then prove that int...

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  11. 3e^(x) tan y dx + (1+e^(x)) sec^(2) dy =0 , " when" x = 0 and y = pi

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  12. A point source of light is hung 30 feet directly above a straight hori...

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  13. Evaluate the following integrals: int(logx)/((1+logx)^(2))dx

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  14. If x=f(t), y=g(t) are differentiable functions of parameter 't' then p...

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  15. Show that the function defined by f(x) = | cos x |is a continuous fun...

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  16. Solve the differential equation (dy)/(dx)=(y+sqrt(x^(2)+y^(2)))/(x).

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  17. Given X ~ B(n,p) If n= 20,, E(x)= 10 , Find p, Car(X) and S.D (X)

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  18. A bakerman sells 5 types of cakes. Profit due to the sale of each type...

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  19. Varify Lagrange's mean value theorem for the function f(x)=x+(1)/(x)...

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  20. int(a)^(b)f(x)dx=int(a)^(b)f(a+b-x)dx. Hence evaluate : int(a)^(b)(f(x...

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