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p+r+2q= 1 b. 2 c. 0 d. 4...

`p+r+2q=` `1` b. `2` c. `0` d. `4`

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Of f(x)=p x^2+q x+r is a quadratic expression such that [a^2a1b^2b1c^2c1][f(0)f(1)f(-1)]=[2a+1 2b+1 2c+1] for three unequal numbers a ,b ,c then p=3/2 (b) q=-1/2 (c) r=1 (d) p+q+r=2

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The number of ordered pairs of integers (x,y) satisfying the equation ...

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  2. is a function which is- a.  one-one           b.  many-one         ...

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  3. p+r+2q= 1 b. 2 c. 0 d. 4

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  4. If bdot(log)(|"s"|)|p+q|=kdota then value of k is- 9/2 b. 6 c. (-3)/2 ...

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  5. Solve : cos ^(−1)(cos( (7π)/6) )

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  6. The number of integral values of k for which the equation sin ^−1 x+t...

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  7. If A ^2 −A+I=0 then A^(−1 ) =

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  8. The number of solution of the equation 2[x] = x + 1 + {x} is/are a. 1 ...

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  9. Solve : tan ^(−1) (tan((3π)/4))=

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  10. Solve: tan ^ (-1)tan((2pi)/3))

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  11. Draw the graph of the following function: f(x)=sin^(-1)(x+2)

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  12. Draw the graph of the following function: g(x)=cos^(-1)x

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  13. Draw the graph of the following function: h(x)=|tan^(-1)(3x)|\

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  14. If f(x) = cos^(-1)x + cos^(-1){(x)/(2)+(1)/(2)sqrt(3-3x^(2))} then :

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  15. If cos^(-1)x/a+cos^(-1)y/b=alpha , then (x^2)/(a^2)-(2x y)/(a b)cosalp...

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  16. Prove that : sin^(-1)3/5+sin^(-1)8/(17)=sin^(-1)(77)/(85)

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  17. cos^(- 1)x=2sin^(- 1)sqrt((1-x)/2)=2cos^(- 1)sqrt((1+x)/2)

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  18. Prove: tan^(-1)2/3=1/2tan^(-1)(12)/5

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  19. If sin^2x + sin^2y < 1 ; x, y in R then prove that sin^-1(tanx . tany...

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  20. If a > b > c >0 , prove that cot^(-1)((a b+1)/(a-b))+cot^(-1)((b c+1)...

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