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Write the value of k, if |{:(aa1,aa2,a...

Write the value of k, if
`|{:(aa_1,aa_2,aa_3),(ab_1,ab_2,ab_3),(ac_1,ac_2,ac_3):}|=k|{:(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3):}|`

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SHARAM PUBLICATION-QUESTION PAPER 2011-EXERCISE
  1. Determine the values of a,b and h for which the equation ax^2+2hxy+by^...

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  2. Write the maximum value of x+y subject to 2x+4yle6,xge0,yge0.

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  3. Write the value of k, if |{:(aa1,aa2,aa3),(ab1,ab2,ab3),(ac1,ac2,ac3...

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  4. if A is a 3xx3 matrix and |A| = 3, then write the matric represented b...

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  5. Find r if: 16P(15,r)= 13P(16,r)

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  6. Determine the middle term in the expansion of (1/3a+1/3b)^8.

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  7. A bag contains 7 white and 9 black balls. If a ball is drawn at random...

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  8. Find (dy)/(dx) if y = logtan^(-1)x+e^(2x).

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  9. Find (dy)/(dx) if y = 10^(ln sinx)

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  10. Evaluate overset(lim)(xrarrpi/2)(secx-tanx)

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  11. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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  12. State Cauchy's mean value theorem.

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  13. Integrate: int(e^(2x)-4x^(3))dx

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  14. Find by integration the area bounded by the straight lines y=0,y=x and...

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  15. Evaluate: overset(4)underset(0)int sqrtx dx

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  16. Reduce the following to a linear differential equation x(dy)/(dx)+y=...

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  17. Write the integrating factor of the differential equation (x - lny)(dy...

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  18. Solve (dy)/(dx)=(y^2)/(xy-x^2).

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  19. Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...

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  20. Find the area of the parallelogram whose diagonals are vectors 3hati+h...

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