10th Standard Math’s Chapter 10

Q.91  If P (a/3, 4) is the mid-point of the line segment joining the points Q (– 6, 5) and R (– 2, 3), then the value of a is

Q.92

The coordinates of the point which is equidistant from the three vertices of the Δ AOB as shown in the figure is:

Q.93 If the distance between the points (4, p) and (1, 0) is 5, then the value of p is

Q.94 The area of a triangle with vertices A (3, 0), B (7, 0) and C (8, 4) is:

Q.95 The point which divides the line segment joining the points (7, –6) and (3, 4) in ratio 1 : 2 internally lies in the

Q.96 One of the two points of trisection of the line segment joining the points A (7, – 2) and B (1, – 5) which divides the line in the ratio 1:2 are:

Q.97 A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, –5) is the mid - point of PQ, then the coordinates of P and Q are, respectively.

Q.98 The ratio in which the point P (3/4, 5/12)divides the line segment joining the Points A (1/2, 3/2) and B (2, –5) is:

Q.99 The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will

Q.100 If the height of a tower and the distance of the point of observation from its foot,both, are increased by 10%, then the angle of elevation of its top