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IF |{:(1+x,x,x^2),(x,1+x,x^2),(x^2,x,1+x...

IF `|{:(1+x,x,x^2),(x,1+x,x^2),(x^2,x,1+x):}| =a+bx+cx^2+dx^3+ex^4+fx^5` then write the value of a.

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MODERN PUBLICATION-SAMPLE PAPER 2019-EXERCISE
  1. A R is a relation on set A such that R=R^(-1), then write the type of ...

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  2. Write the value of cos^-1cos((3pi)/2).

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  3. IF |{:(1+x,x,x^2),(x,1+x,x^2),(x^2,x,1+x):}| =a+bx+cx^2+dx^3+ex^4+fx^5...

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  4. Let A and B be two mutually exclusive events, such that P(A)= (1)/(2) ...

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  5. If f'(2^+) = 0 and f'(2^-)=0, then is f(x) continuous at x=2 ?

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  6. If f is an odd function, then write the value of int-a^a(f(sinx))/(f(c...

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  7. Write the order of the differential equation whose solution is given b...

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  8. If veca=vecb+vecc, then write the value of veca*(vecbxxvecc).

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  9. Write the value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies o...

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  10. Construct the multiplication table xx(7) on the set {1,2,3,4,5,6}. Als...

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  11. Let R be the relation on the set R of real numbers such that aRb iff a...

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  12. Solve: 2tan^(-1)(sinx)=tan^(-1)(2secx),x!=pi/2.

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  13. Prove that : "cos"^(-1) ((b+a "cos"x)/(a+b "cos"x)) =2"tan"^(-1)(sqr...

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  14. If A=[{:(1,2,3),(3,-2,1),(4,2,1):}] then show that A^(3)-23A-40I=O

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  15. Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...

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  16. A person takes 4 tests in succession. The probability of his passing t...

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  17. Find the probability distribution of number of heads in three tosses...

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  18. If A=[[1,2,0],[0,1,3],[-2,5,3]], then verify that A+A' is symmetric an...

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  19. Find (d^2y)/(dx^2) if x=a costheta,y=bsintheta.

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  20. Verify lagrange's Mean-Value theorem for F(x) = x^3 - 2x^2 - x + 3 o...

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