One extremity of a straight line 10 cm long is (-3, 2). If the ordinate of the other extremity be 10, find its obscissa.

If the extremities of a circle be (-5, 7) and (3, -11), find the centre of the circle.

The atitude of a right triangle is 7 cm less than its base.If the hypotenuse is 13 cm,find the other two sides.

Find the equation of the straight line passing through the point (3, 2) and the point of intersection of the lines 3x + 2y - 1 = 0 and x - 3y + 5 = 0.

the extremities of a line segment AB are given below . find the co-ordinates of the points of trisections A(2,3),B(6,5).

the extremities of a line segment AB are given below . find the co-ordinates of the points of trisections A(1,2),B(-3,4).

If one side of an equilateral triangle measures 10cm. find its height.

Two extremities of a diameter of a circle are (-4, 3), (12, -1). Find the length of the chord made by the circle on the Y -axis.

Find the equation of the straight line passing through the point (2, 3) and parallel to the straight line joining the points P(3, -4) and Q(-5, 6).

Find the equation of straight line passing through the point of intersection of the straight lines 2x - 3y + 4 = 0 and x + 2y - 5 = 0 and perpendicular to the line 3x - 4y + 5 = 0.

An oil funnel made of tin sheet consists of a 10cm long cylindrical portion attached to a frustum of a cone.If the total height is 22cm,diameter of the cylindrical portion is 8 cm and the diameter of the top of the funnel is 18 cm,find thev area of the tin sheet required to made the funnel(seeFig.13.25).