SSLC (English Medium) कक्षा ९ - Tamil Nadu Board of Secondary Education Question Bank Solutions

Find the length of the chord AC where AB and CD are the two diameters perpendicular to each other of a circle with radius `4sqrt(2)` cm and also find ∠OAC and ∠OCA

A chord is 12 cm away from the centre of the circle of radius 15 cm. Find the length of the chord

In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords?

Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord

A chord is at a distance of 15 cm from the centre of the circle of radius 25 cm. The length of the chord is

In the figure, O is the centre of a circle and diameter AB bisects the chord CD at a point E such that CE = ED = 8 cm and EB = 4 cm. The radius of the circle is

AD is a diameter of a circle and AB is a chord If AD = 30 cm and AB = 24 cm then the distance of AB from the centre of the circle is

Solve graphically

x + y = 7, x – y = 3

Solve graphically

3x + 2y = 4, 9x + 6y – 12 = 0

Solve graphically

`x/2 + y/4` = 1, `x/2 + y/4` = 2

Solve graphically

x – y = 0, y + 3 = 0

Solve graphically

y = 2x + 1, y + 3x – 6 = 0

Solve graphically

x = −3, y = 3

Two cars are 100 miles apart. If they drive towards each other they will meet in 1 hour. If they drive in the same direction they will meet in 2 hours. Find their speed by using graphical method.

Solve, using the method of substitution

2x – 3y = 7, 5x + y = 9

Solve, using the method of substitution

1.5x + 0.1y = 6.2, 3x – 0.4y = 11.2

Solve, using the method of substitution

10% of x + 20% of y = 24, 3x – y = 20

Solve, using the method of substitution

`sqrt(2)x - sqrt(3)y` = 1, `sqrt(3)x - sqrt(8)y` = 0

Raman’s age is three times the sum of the ages of his two sons. After 5 years his age will be twice the sum of the ages of his two sons. Find the age of Raman.

The middle digit of a number between 100 and 1000 is zero and the sum of the other digit is 13. If the digits are reversed, the number so formed exceeds the original number by 495. Find the number