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Let f be a real valued function satisfyi...

Let f be a real valued function satisfying f(x)+f(x+6)=f(x+3)+f(x+9).Then `int_x^(x+12)f(t)dt`is

A

a linear function of x

B

an exponential function of x

C

a constant function

D

None of these

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KVPY PREVIOUS YEAR-MOCK TEST 4-EXERCISE
  1. If (log)2(a+b)+(log)2(c+d)geq4. Then find the minimum value of the exp...

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  2. lf r1 and r2 are the distances of points on the curve 10(ZbarZ)-3i(Z^2...

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  3. Let f be a real valued function satisfying f(x)+f(x+6)=f(x+3)+f(x+9).T...

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  4. If an = sqrt(7+ sqrt( 7+sqrt7+ ....... ))) having n radical signs then...

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  5. Let sum(r=1)^n(r^4) = f(n). Then sum(r =1)^n (2r-1)^4 is equal to :

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  6. A hat contains a number of cards with 30% white on both sides, 50% ...

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  7. If x is real, then the maximum value of y=2(a-x)(x+sqrt(x^2+b^2))

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  8. The minimum value of px+py when xy=r^(2) is equal to

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  9. Let z1,z2 be two complex numbers represented by points on the circle|z...

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  10. Let A be a set consisting of n elements. The probability of selecting ...

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  11. If p ,q ,r are positive and are in A.P., the roots of quadratic equati...

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  12. The general solution of the trigonometric equation sinx+cosx=1 is give...

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  13. Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], where alpha in RR. Suppose Q=[...

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  14. The total number of distinct x in (0,1] for which underset(0)overset...

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  15. P(a, b) is a point in the first quadrant Circles are drawn through P t...

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  16. Given that n is odd, number of ways in which three numbers in AP can b...

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  17. A certain polynomial P(x)x in R when divided by kx-a ,x-ba n dx-c lea...

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  18. The point of intersection of two tangents to the hyperbola (x^(2))/(a^...

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  19. If f(x+y)=f(x)+f(y)-x y-1AAx , y in Ra n df(1)=1, then the number of ...

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  20. The area of the region bounded by the curves y=|x-1| and y=3-|x| is (A...

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