Mathematics Tes...

The equation of the straight line whose inclination is π/4 and x-intercept is 4

If a, b, c are in A.P then the lines represented by ax + by + c = 0 are concurrent at the point

A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :

The equation of the hyperbola, whose foci are (4,2) and (8,2) and eccentricity is 3, is

The direction cosines of the line which is perpendicular to the lines with direction cosines proportional to (1, –2, –2) and (0, 2, 1) are

An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit distance from the origin is

The probability that a non-leap year will have only 52 Fridays is

An aeroplane flying with uniform speed horizontally one kilometer above the ground is observed at an elevation of 60°.  After 10 seconds if the elevation is observed to be 30°, then the speed of the plane is x√3 km/hr. The value of x is______.