0Q. If the sum of first m terms of an AP is 2m2 + 3m, then what is its second term?
Q. Find the value of ‘k’ so that the zeros of the quadratic polynomial 3x2 – kx + 14 are in the ratio 7: 6.
Q. Determine whether the following system of linear equation has a unique solution, no solution or infinitely many solution.
4x − 5y = 3
8x − 10y = 6
Q. If the bisectors of adjacent angles P and Q of a parallelogram PQRS intersect at a point O, then find ∠POQ.
Q. Water flows through a circular pipe, whose internal diameter is 2 cm, at the rate of 0.7 m per second into a cylindrical tank, the radius of whose base is 40 cm. By how much will the level of water in the cylindrical tank use in half an hour?
Q. On a straight line passing through the foot of a tower, two points C and D are at distances of 4 m and 16 m from the foot respectively. If the angles of elevation from C and D of the top of the tower are complementary, then find the height of the tower.
Q. If the ratio of the sum of the first n terms of two A.Ps is (7n + 1):(4n + 27), then find the ratio of their 9th terms.
