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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 52-MATHEMATICS
- Let f (x) = (a ^(2) + a + 2) x ^(2) - (a + 4) x - 7, x in R. If 1 l...
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- Let S (n ) =1 ^(3) + 2 ^(3) + 3 ^(3) + .....+ n ^(3) , n in N, then ...
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- In the letters of the word "INDEPENDENCE" are rearranged randomly, the...
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- The vertices of a Delta ABC lie on a rectangular hyperbola such that t...
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- If a double ordinate of the parabola y ^(2) = 4 ax is of length 8a, th...
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- If P,Q and R are three points with the co-ordinates (1,4),(4,2) and (m...
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- The equation of the plane passing through the line of intersection of ...
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- Let ABC be a triangle with vertices at points A (2,3,5), B (-1,3,) and...
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- int (1)/(f (x)) dx = log (f (x)) ^(2) + C, then f (x) is
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- If lim ( x to oo) ( sqrt ( x ^(2) + x +2 ) - ax -b )= 2, then equati...
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- The sum of 50 observations and sum of their squares were found to be 2...
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- int (dx)/( root (5) ( (x +1) ^((11)/(2)) (x +2) ^((9)/(2)))) is equal ...
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- The contrapositive of the statement : If x = 5 and y =-2 then x - 2y ...
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- If in Delta ABC, sin B cos C = (sqrt3 -1)/(sqrt3) and cos B sin C = (1...
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- If cos ^(-1)x + cos ^(-1) y + cos ^(-1) z = pi, then the value of (xy ...
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- If m be the number of direct common tangents to the circles x ^(2) + y...
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- f (x) = {{:((sqrt2 + sin (1)/(x)) ^(( -1)/( e ^(|x|))), if x ne 0),(0,...
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- Graphical representation of different functions is also a method of fi...
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- Consider the differential equation (du)/(dt) = sin ( t + u ) + cos (t ...
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- For a positive interger n, f (n) (x) = tan ((x)/(2)) (1 + sec x ) (1...
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