(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

The centre of a circle is (2x - 1, 3x + 1). Find x if the circle passes through (-3, -1) and the length of its diameter is 20 unit.

The length of line PQ is 10 units and the co-ordinates of P are (2, -3); calculate the co-ordinates of point Q, if its abscissa is 10.

Point P (2, -7) is the center of a circle with radius 13 unit, PT is perpendicular to chord AB and T = (-2, -4); calculate the length of: AT 

Point P (2, -7) is the centre of a circle with radius 13 unit, PT is perpendicular to chord AB and T = (-2, -4); calculate the length of AB.

Calculate the distance between the points P (2, 2) and Q (5, 4) correct to three significant figures.

Calculate the distance between A (7, 3) and B on the x-axis whose abscissa is 11.

Calculate the distance between A (5, -3) and B on the y-axis whose ordinate is 9.

Find the point on y-axis whose distances from the points A (6, 7) and B (4, -3) are in the ratio 1: 2.

The distances of point P (x, y) from the points A (1, - 3) and B (- 2, 2) are in the ratio 2: 3.
Show that: 5x² + 5y² - 34x + 70y + 58 = 0.

The points A (3, 0), B (a, -2) and C (4, -1) are the vertices of triangle ABC right angled at vertex A. Find the value of a.

Insert a rational number between:

`(2)/(5) and (3)/(4)`

Insert a rational number between:

`(3)/(4) and (5)/(7)`

Insert a rational number between:

`(4)/(3) and (7)/(5)`

Insert a rational number between:

`(5)/(9) and (6)/(7)`

Insert a rational number between:

3 and 4

Insert a rational number between:

7.6 and 7.7

Insert a rational number between:

8 and 8.04

Insert a rational number between:

101 and 102

Insert three rational numbers between:

0 and 1

Insert three rational number between:

6 and 7