parabola, Mathematics

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5, what is a variable

what is a variable

Prove that x2 + y2 - 8x - 10y +39 = 0, If the points (5, 4) and (x, y) are ...

If the points (5, 4) and (x, y) are equidistant from the point (4, 5), prove that x 2 + y 2 - 8x - 10y +39 = 0. Ans :   AP = PB AP 2 = PB 2 (5 - 4) 2 + (4 - 5) 2 = (x

Homogeneous differential equation, Assume that Y 1 (t) and Y 2 (t) are two ...

Assume that Y 1 (t) and Y 2 (t) are two solutions to (1) and y 1 (t) and y 2 (t) are a fundamental set of solutions to the associated homogeneous differential equation (2) so, Y

Find the original average of boys and girls in the class, When 6 boys were ...

When 6 boys were admitted & 6 girls left the percentage of boys increased from 60% to 75%. Find the original no. of boys and girls in the class. Ans: Let the no. of Boys be x

Fermat''s theorem, Fermat's Theorem : If  f ( x ) contain a relative extre...

Fermat's Theorem : If  f ( x ) contain a relative extrema at x = c & f ′ (c ) exists then x = c is a critical point of f ( x ) . Actually, it will be a critical point such that f

Linear algebra, Let A be an n×n matrix. Then Show that the set U = {u?R^n ...

Let A be an n×n matrix. Then Show that the set U = {u?R^n : Au = -3un} is a Subspace of R^n

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