Class 9 Mathematics questions for CBSE

In the point (4, -3), what does the number 4 represent?

What is the Cartesian system primarily used for?

Given the coordinates of points A(1, 2), B(-3, 4), and C(-2, -3), identify in which quadrants each point lies. Discuss how the signs of their x and y coordinates determine their respective quadrants.

Plot the point (3, -4) in the Cartesian plane. Describe the steps you took to plot this point and explain how the signs of the coordinates influence its position in relation to the axes.

In the Cartesian coordinate system, explain the significance of the four quadrants. Describe how the signs of the coordinates (x, y) determine the quadrant in which a point lies, and illustrate with examples.

Apply the Factor Theorem to the polynomial p(x) = x³ - 4x² + 4x - 16. Show that (x - 2) is a factor of p(x). Provide a detailed explanation of each step in your process.

Consider the polynomial f(x) = x² - 5x + 6. Using the method of factorization, find the zeroes of the polynomial and explain how they relate to the graph of the polynomial function.

Using the algebraic identity (a + b)² = a² + 2ab + b², derive the expansion for (2x + 3)². Show all steps in your derivation and explain the significance of each part of the identity in your answer.

Find the sum of the rational numbers 3/4 and 5/6. Explain each step in your calculation and verify your answer by converting the result into decimal form.

Demonstrate the operations of addition and subtraction on real numbers using two examples for each operation. Ensure one example involves a rational number and the other an irrational number.

Define real numbers and explain the difference between rational and irrational numbers. Provide examples of each type and discuss how they are represented on the number line.

If a rational number is expressed in the form p/q, where p and q are integers, and q is not equal to zero, show that the decimal expansion of this rational number either terminates or repeats. Provide examples to illustrate your explanation.

Find the zeroes of the polynomial p(x) = x^2 - 5x + 6.

Verify the algebraic identity (a + b)^2 = a^2 + 2ab + b^2 with specific values of a and b.

State the Remainder Theorem and demonstrate it with an example of a polynomial division.

Express the decimal 0.625 as a fraction in simplest form.

Provide an example of an irrational number and explain why it is classified as such.

Using the laws of exponents, simplify the expression (x^3 * x^2) / x^4.

Convert the fraction 5/8 into its decimal expansion and state if it is a terminating or non-terminating decimal.

Plot the point (3, -2) on the Cartesian plane and identify its quadrant.