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KVPY PREVIOUS YEAR-MOCK TEST 7-EXERCISE
- x^3+5x^2+px+q=0 and x^3+7x^2+px+r=0 have two roots in common. If their...
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- If f(x)=x^(3)+3x^(2)+4x+asinx+bcosx, forall x in R is a one-one fuctio...
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- If x-=2+^(2//3)"then the value"(x^(3)-6x^(2)+6x)is
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- Let C1and C2 be two circles with C2 lying inside C1 circle C lying ins...
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- The locus of the orthocentre of the triangle formed by the lines (1+p)...
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- The point (4, 1) undergoes the following three transformations success...
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- Let the altitudes from the vertices A, B and Cof the triangle e ABCmee...
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- Minimum distance between y^2-4x - 8y +40 =0 and x^2 - 8x-4y +40=0 is
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- Entries of a 2 xx 2 determinant are chosen from the set {-1, 1}. The p...
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- Find the area bounded by the curve f(x)=x+ sin x and its inverse fun...
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- The set of values of 'c' so that the equations y=|x|+c andx^(2)+y^(2)-...
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- Fifteen coupons are numbered 1, 2, 3,…, 15 respectively. Seven coupons...
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- The point ( [ P + 1 ] , [ P ] ) (where [.] denotes the greatest in...
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- If A ={x:x^2 = 1} and B={x:x^4 =1}, then ADeltaB is equal to
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- Domain of definition of the functioni f(x)=3/(4-x^(2))+log(10)(x^(3)-x...
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- If {x} represents the fractional part of x, then underset(0)overset(10...
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