Mathematics Tes...

ABC is an acute - angled triangle with circumcentre 'O' and orthocentre H. If AO = AH, then angle A is

The locus of the mid point of the line segment joining the focus to a moving point on the parabola y² = 4ax is another parabola with directrix

The eccentricity of the ellipse which meets the straight line  on the axis of x and the straight line  on the axis of y and whose axes lie along the axes of coordinates, is :

A circle is described whose centre is the vertex and whose diameter is three-quarters of the latus rectum of a parabola y² = 4ax. The common chord of the circle and parabola is

A (3, 2, 0), B (5, 3, 2) and C (-9, 6, -3) are three points forming a triangle and AD is bisector of the angle  AD meets BC at the point :

If p, q ∈{1,2,3,4} the number of equations of the form px² + qx + 1 = 0 having real roots is

The length of the diameter of the circle which touches the x-axis at the point (1, 0) and passes through the point (2, 3) is

If f(x) = a - (x - 3)^8/9, then maximum value of f(x) is: