Mathematics
An express train makes a run of 240 km at a certain speed. Another train whose speed is 12 km/h less takes an hour longer to cover the same distance. Find the speed of the express train.
Related Questions
AB is a line segment joining the points A(3, 2) and B(4, 1). Find :
(i) the ratio in which AB is divided by point P on x-axis
(ii) the co-ordinates of point P
(iii) the equation of the line that passes through the point P and is perpendicular to AB.
Draw and describe the locus in each of the following cases :
(i) The locus of vertices of all isosceles triangles having a common base.
(ii) The locus of points inside a circle and equidistant from two fixed points on the circle.
(iii) The locus of centres of all circles passing through two fixed points.
(iv) The locus of a point in rhombus ABCD which is equidistant from AB and AD.
The expression 2x3 + ax2 + bx - 2 leaves remainders 0 and 7 when divided by (x + 2) and (2x - 3), respectively. Calculate the values of a and b. Factorise the expression completely.