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Check whether the function F : R to R de...

Check whether the function `F : R to` R defined as`F(X ) =x^2`is one-one or not.

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CBSE MODEL PAPER-SAMPLE QUESTION PAPER ( MATHEMATICS )-QUESTION
  1. Check whether the function F : R to R defined asF(X ) =x^2is one-one o...

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  2. How many reflexive relations are possible in a set A whose n(A) =3.

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  3. A relation R in A = {1,2,3} is defined as ? {(1,1),(1,2),(2,2),(3,3)}....

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  4. A relation R in the set of real numbers R defined as R= {(a,b ) : sqr...

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  5. An equivalence relation R in A divides it into equivalence classes A1 ...

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  6. If A and B are matrices of order3 xx n and m xx 5 respectively, then f...

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  7. Find the value of A^2 where A is a 2 xx 2matrix whose elements are giv...

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  8. Given that A is a square matrix of order 3 xx3 and |A| = - 4. Find |ad...

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  9. Let A = [a(ij)] be a square matrix of order 3xx 3 and |A|= -7. Find th...

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  10. Find int e^x ( 1- cot x+ cosec^2 x ) dx

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  11. Evaluate int(-pi/2)^(pi/2) x^2 sin x dx

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  12. Find the area bounded by y=x^2 , the x- axis and the lines x=-1 and ...

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  13. How many arbitrary constants are there in the particular solution of t...

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  14. For what value of n is the following a homogeneous differential equati...

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  15. Find a unit vector in the direction opposite to -(3)/(4) hatj

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  16. Find the area of the triangle whose two sides are represented by the v...

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  17. Find the angle between the unit vectors hata and hatb given that | ...

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  18. Find the direction cosines of the normal to YZ plane?

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  19. Find the coordinates of the point where the line (x+3)/(3 ) =(y-1)/(-1...

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  20. The probabilities of A and B solving a problem independently are1/3 a...

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