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KVPY PREVIOUS YEAR-MOCK TEST 6-EXERCISE
- lim(x->2)((sqrt(1-cos{2(x-2)}))/(x-2))
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- If POR is the triangle formed by the common tangents to the circles x^...
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- Let f(x) be a continuous function, AA x in R, f(0) = 1 and f(x) ne x f...
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- An eppipse of eccentricity (2sqrt2)/(3) is inscribed in a circle and a...
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- "sin"^(-1)("sin" 5)>x^2-4x holds if
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- A is one of the 6 horses entered for a race and is to be ridden by one...
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- Let coordinates of the points A and B are (5, 0 ) and (0, 7) respectiv...
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- If "cos 3x + "sin" (2x - (7pi)/(6)) =-2, then x =
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- Solve log(3)(x+2)(x+4)+log(1//3)(x+2) lt 1/2 log(sqrt3)7.
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- If k in I such that underset(nrarroo)(lim)(cos.(kpi)/(4))^(2n)-(cos.(k...
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- On the set N of all natural numbers define the rational R by aRb iff t...
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- Prove that for n=1, 2, 3... [(n+1)/2]+[(n+2)/4]+[(n+4)/8]+[(n+8)/16]+...
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- The system of homogenous equations tx+(t+1)y+(t-1)z=0, (t+1)x+ty+(t+...
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- Let f(x)a n dg(x) be bijective functions where f:{1, b , c , d}vec{1,2...
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- Let omega be a complex cube root unity with omega!=1. A fair die is th...
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- Let I= underset(pi//4)overset(pi//3)int (sinx)/x dx, then I belongs to
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- The area between the curves y = 2x^4-x^2, the x-axis and the ordinates...
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- f(x)={:{(2-,|x^(2),+,5x,+,6|",",xne-2),(a^(2),+1",",x=-2):},then the r...
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- If f is the centre of a circle inscribed in a triangle ABC, then |vec...
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- The number of numbers, that can be formed by using all digits 1,2, 3, ...
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