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KVPY PREVIOUS YEAR-MOCK TEST 2-EXERCISE
- Let f be a real valued function such that for any real x,f(lambda+x)=f...
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- Let f(x) = [ n + p sin x], x in (0,pi), n in Z, p a prime number and [...
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- Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...
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- The number of all triplets (a1,a2,a3) such that a1 + a2 cos 2x + a3 si...
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- Find the value of int(-1)^(3/2)|xsinpix|dx
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- Three points P, Q and R are selected at random from the cirumference o...
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- A quadratic polynomial maps from [-2, 3] onto [0, 3] and touches x-axi...
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- if the product of n matrices [(1,1),(0,1)][(1,2),(0,1)][(1,3),(0,1)]…[...
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- Universal set, U={x|x^(5)-6x^(4)+11x^(3)-6x^(2)=0} A={x|x^(2)-5x+...
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- If P(3 sec theta,2 tan theta) and Q(3 sec phi , 2 tan phi) where theta...
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- Let f(x) be defined by f(x) = x- [x], 0!=x in R, where [x] is the grea...
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- Let A (-2,2)and B (2,-2) be two points AB subtends an angle of 45^@ at...
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- The value of int0^1lim(n->oo)sum(k=0)^n(x^(k+2)2^k)/(k!)dx is:
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- The probability that the graph of y=16x^2 +8(a +5)x-7a-5=0, is strictl...
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- Find the number of point (x ,y) having integral coordinates satisfying...
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- The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is 3 b. ...
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- Let f(theta)=sintheta(sintheta+sin3theta).Then, f(theta)
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- In what ratio does the x-axis divide the area of the region bounded by...
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- For all complex numbers z1,z2 satisfying |z1|=12 and |z2-3-4i|=5 the m...
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- If f(x+y)=f(x)-f(y)+2xy-1AAx,yinR. Also if f(x) is differentiable and ...
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