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KVPY PREVIOUS YEAR-MOCK TEST 10-EXERCISE
- Let S be the set of complex number a which satisfyndof log(1/3) { log...
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- ("lim")(xvec0)[min(y^2-4y+11)(sinx)/x](w h e r e[dot]d e not e st h e ...
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- If P(x) is a polynomial of the least degree that has a maximum equal ...
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- if 10! = 2^p3^q5^r7^s then
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- Show that the height of the cylinder of maximum volume that can be ...
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- If (vec a xx vec b)^2 + (veca .vecb)^2 = 676 and |vecb| = 2, then |ve...
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- The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents an ellipse (b)...
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- The graph of the function, cos x cos (x +2) -cos^2 (x+1) is
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- If f(x)=cos{(pi)/(2)[x]-x^(3)},1ltxlt2, and [x] denotes the greatest i...
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- The number of real solutions of the equation 1+|e^x - 1|= e^x (e^x ...
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- If 2x-y+1=0 is a tangent to the hyperbola (x^2)/(a^2)-(y^2)/(16)=1 the...
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- If the equation (x^2)/3-4x+13=sin(a/x) has a solution then a is equal ...
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- If m be the slope of common tangent of y = x^2 - x + 1 and y = x^2 – 3...
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- If Sn=^nC0.^nC1+^nC1.^nC2+.....+^nC(n-1).^nCn and if S(n+1)/Sn=15/4 , ...
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- The value of integrals int(-2)^(2)max {x+|x|, x-[x]}dx where [.] repre...
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- One hundred identical coins, each with probability 'p' of showing head...
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- If omega is a complex nth root of unity, then sum(r=1)^n(a+b)omega^(r-...
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- If f(n+1)=1/2{f(n)+9/(f(n))},n in N , and f(n)>0fora l ln in N , t...
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- An arch way is in the shape of a semi-ellipse, the road level being th...
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- Let f(x) be positive, continuous, and differentiable on the interval ...
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