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KVPY PREVIOUS YEAR-MOCK TEST 1-EXERCISE
- Two points P and Q are taken on the line joining the points A (0.0) an...
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- Let P={theta:sintheta-costheta=sqrt2costheta}and Q={theta: sintheta+co...
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- If the focus of the parabola (y - k)^2 = 4(x - h) always lies between ...
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- Let us define a region R is xy-plane as a set of points (x,y) satisfy...
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- The chance that doctor A will diagnose disease X correctly is 60%.The ...
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- Let f:{x,y,z}rarr{1,2,3} be a one-one mapping such that only one of th...
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- For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1which of the followin...
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- The equation 2cos^2x/2sin^2x=x^2+x^(-2);0<xlt=pi/2 has no real solutio...
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- The value of int(pi)^(2pi)[2sinx]dx where [.] represents the greatest ...
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- If f(x)=x^3+3x^2+6x+2sinx then the equation 1/(x-f(1))+2/(x-f(2))+3/(x...
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- If f and g are two continuous functions being even and and odd, respec...
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- A determinant of the second order is made with the elements 0 and 1. I...
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- Let f:[0,oo)vec[0,oo)a n dg:[0,oo)vec[0,oo) be non-increasing and non-...
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- The number of such points (a+1,sqrt3a), where a is any integer, lying...
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- Ifx^4+px^3+qx^2+rx+5=0 has four positive roots,then the minimum value ...
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- If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...
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- Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/...
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- The value of Lt(xrarr0){(int0^(x^2) sec^2tdt)/(xsinx)} is (A) 0 (B) 3 ...
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- Tangents are drawn to the circle x^2+y^2=50 from a point 'P' lying on ...
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- LEt F: R->R is a differntiable function f(x+2y) =f(x) + f(2y) +4xy for...
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