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KVPY PREVIOUS YEAR-MOCK TEST 3-EXERCISE
- Find the values of alpha for which the point (alpha-1,alpha+1) lies in...
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- Let 1 le m lt n le p. The number of subsets o the set A={1,2,3, . . .P...
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- Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...
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- Two numbers a and b are chosen at random from the set {1,2,3,..,3n}. T...
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- The line2px+ysqrt(1-p^(2))=1(abs(p)lt1) for different values of p, tou...
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- If f: R to R, g , R to R be two funcitons, and h(x) = 2 "min" {f(x) - ...
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- The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 b. 2 c. 2s...
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- A function phi(x) satisfies the functional equation x^2phi(x) + phi(1-...
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- If n is a natural number,then
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- Let S(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T(n)=unde...
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- Two friends visit a restaurant randomly during 5 pm to 6 pm . Among...
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- For any n in N, the value of the expression sqrt(2+sqrt(2+sqrt(2+.......
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- If a, b and c are distinct positive numbers, then the expression (a + ...
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- The general value of theta satisfying the equation 2sin^(2)theta-3sint...
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- For 3 xx 3 matrices M and N, which of the following statement(s) is/ar...
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- If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...
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- If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then
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- The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...
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- A person goes to office either by car, scooter, bus or train probabili...
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- The line x+ y = 1 meets X-axis at A and Y-axis at B,P is the mid-poin...
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