(English Medium) ICSE Class 10 - CISCE Question Bank Solutions

The points B and C have the co-ordinates (3, 2) and (0, 3). Find B', the image of B under the reflection in the x-axis and C', the image of C under the reflection in the line BB'.

Write down the co-ordinates of the image of the point (-2, 4) under reflection in the origin and under reflection in the y-axis. What is the distance between the points of reflection?

Perform the following operation and state the single transformation that take place  :

 M_x . M_o on P (-1,-3) 

A point moves such that its distance from a fixed line AB is always the same. What is the relation between AB and the path travelled by the point? 

State the locus of a point moving so that its perpendicular distances from two given lines is always equal. 

AB is a fixed line. State the locus of the point P so that ∠APB = 90°. 

Mr. Richard has a recurring deposit account in a post office for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8,325 as interest at the time of maturity, find:

1. the monthly instalment.
2. the amount of maturity.

Sharukh opened a recurring deposit account in a bank and deposited Rs 800 per month for `1 1/2` years. If he recieved Rs 15,084 at the time of maturity, find the rate of interest per annum.

If `sqrt (2/3)` is a solution of equation 3x² + mx + 2 = 0, find the value of m.

Solve equation using factorisation method:

x² – 10x – 24 = 0

Solve equation using factorisation method:

`2x^2 - 1/2x = 0`

Solve equation using factorisation method:

x(x – 5) = 24

Solve equation using factorisation method:

`6/x = 1 + x`

Solve equation using factorisation method:

`x = (3x + 1)/(4x)`

Solve equation using factorisation method:

`x + 1/x = 2.5`

Solve equation using factorisation method:

(2x – 3)² = 49

Solve equation using factorisation method:

2(x² – 6) = 3(x – 4)

Solve equation using factorisation method:

(x + 1)(2x + 8) = (x + 7)(x + 3)

Solve equation using factorisation method:

x² – (a + b)x + ab = 0

Solve equation using factorisation method:

(x + 3)² – 4(x + 3) – 5 = 0