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

Solve by cross-multiplication method

`2/x + 3/y` = 5,  `3/x - 1/y + 9` = 0

Akshaya has 2 rupee coins and 5 rupee coins in her purse. If in all she has 80 coins totalling ₹ 220, how many coins of each kind does she have.

It takes 24 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 8 hours and the pipe of the smaller diameter is used for 18 hours. Only half of the pool is filled. How long would each pipe take to fill the swimming pool

The sum of a two digit number and the number formed by interchanging the digits is 110. If 10 is subtracted from the first number, the new number is 4 more than 5 times the sums of the digits of the first number. Find the first number.

The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes `1/2`. Find the fraction

ABCD is a cyclic quadrilateral such that ∠A = (4y + 20)°, ∠B = (3y − 5)°, ∠C = (4x)° and ∠D = (7x + 5)°. Find the four angles

On selling a T.V. at 5% gain and a fridge at 10% gain, a shopkeeper gains ₹ 2000. But if he sells the T.V. at 10% gain and the fridge at 5% loss, he gains Rs. 1500 on the transaction. Find the actual price of the T.V. and the fridge.

Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Find the numbers.

4 Indians and 4 Chinese can do a piece of work in 3 days. While 2 Indians and 5 Chinese can finish it in 4 days. How long would it take for 1 Indian to do it? How long would it take for 1 Chinese to do it?

Which of the following is not a linear equation in two variable

Find the zero of the polynomial of the following:

p(x) = x – 3

Find the zero of the polynomial of the following:

p(x) = 2x + 5

Find the zero of the polynomial of the following:

q(y) = 2y – 3

Find the zero of the polynomial of the following :

f(z) = 8z

Find the zero of the polynomial of the following:

p(x) = ax when a ≠ 0

Find the zero of the polynomial in the following:

h(x) = ax + b, a ≠ 0, a, b ∈ R

Verify whether the following are zeros of the polynomial indicated against them, or not

p(x) = 2x − 1, x = `1/2`

Verify whether the following are zeros of the polynomial, indicated against them, or not

p(x) = x³ – 1, x = 1

Verify whether the following are zeros of the polynomial, indicated against them, or not

p(x) = ax + b, x = `(-"b")/"a"`

Verify whether the following are zeros of the polynomial, indicated against them, or not

p(x) = (x + 3) (x – 4), x = −3, x = 4