Mathematics Tes...

If the axes are rotated through an angle of 30° in the clockwise direction, the point (4, 2√3) in the new system is

Determine the position of the point (2,−3) with respect to the hyperbola x²/9  −y²/25 = 1

The point P on the ellipse 4x² + 9y² = 36 is such that the area of the ΔP F₁ F₂ = √10Sq units, where F₁. F₂ are Foci. Then P has the coordinates

The given diagram represents

The degree and order of the differential equation 

[1+2(dy/dx)²]^3/2 = 5d²y/dx² are

If x = a cosθ + a log tanθ/2 and y = a sinθ, then dy/dx is equal to

The equation x²/8−t + y²/t−4 = 1 will represent an ellipse if

On the line y = 2x − 1, what is the approximate distance between the points where x = 1 and x = 2?

The continuously differentiable function y=f(x),x∈(0,π) satisfying y′ = 1 + y², y(0) = 0 = y(π) is