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The length of tangents drawn from the point (5,1) is to the circle x2+y2+6x-4y-3=0
Let f(x) be a function satisfying f ′(x)= f x with f(0) = 1 and g(x) be a function that satisfies f(x) + g(x) = x2, then value of integral
is equal to
A singular solution of the differential equation y2[1+(dy/dx)2]=R2 is :
The order and degree of the differential equation d2y/dx2 + (dy/dx)1/3 + x1=0 are respectively
The product of the perpendicular, drawn from any point on a hyperbola to its asymptotes is
A and B are square matrices of order n x n, then (A - B)2 is equal to
The coordinates of a point of the parabola y=x2+7x+2 which is the closest to the straight line y=3x-3 is
Let a + b = 4, a < 2 and g(x) be a monotonically increasing function of x.
Then,
The length of the latus rectum of the parabola x2-4x-8y+12=0 is
The length of the latus rectum of the parabola 4y2+2x-20y+17=0 is
3 videos|10 docs|54 tests
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3 videos|10 docs|54 tests
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