Enhanced Curriculum Support
This is a comprehensive educational resource designed to provide students with the tools and guidance necessary to excel. This support system is structured to cater to various aspects of learning, ensuring that students are well-prepared for academic challenges and practical applications of mathematical concepts. Some are the key benefits are mentioned below:
Comprehensive Learning: This holistic approach helps students gain a thorough understanding of the subject. Practical Application: The resources encourage students to apply mathematical concepts to real-life scenarios, enhancing their practical understanding and problem-solving skills.
Exam Preparedness: Sample Question Papers provide ample practice for exams. They help students familiarize themselves with the exam format and types of questions, reducing exam anxiety.
Sample Questions
Sec A
(1) For what value of 't' the following pair of linear equations has a no solution? 2x - ty = 5 and 3x + 2y = 11
(2) For what value of 't' the following pair of linear equations has no solution? 2x - ty = 5 and 3x + 2y = 11
(3) "The cost of 2 pens and 5 pencils is Rs. 20". Express this data as a linear equation.
(4) The pair of equations 9x + 3y + 12 = 0 and 18x + 6y + 26 = 0 has .... (A) unique solution. (B) two solutions. (C) infinitely many solutions. (D) no solution.
(5) If x = a and y = b is solution for the pair of equations x - y = 2 and x + y = 4, then find the values of a and b.
Sec B
(1) If the pair of linear equations : (3k + 1)x + 3y – 2 = 0 and (
(2) If x + 2y = 7 and 4x - ay = 10 has no solution, then find the value of 'a'.
(3) Is the pair of linear equations 3x - 5y = 7 and 6x - 10y = 13 are inconsistent ? Justify your answer.
(4) Is the pair of linear equations 3x – 5y = 7 and 6x – 10y = 13 are inconsistent ? Justify your answer.
(5) Solve the pair of linear equations 2x + 3y = 8 and x + 2y = 5 by Elimination method.
(6) The solutions of the linear equation x + y = 5 are (1, 4), (2, 3) and (3, 2). The solutions of another linear equation x - y = 1 are (3, 2), (2, 1) and (5, 4). Plot these points on a graph sheet and draw lines.
(7) Given the linear equation 3x + 4y = 11, write linear equations in two variables such that their geometrical representations form parallel lines and intersecting lines.
(8) Solve the pair of linear equations 2x + 3y = 8 and x + 2y = 5 by Elimination method.
Sec C
(1) Solve: 2x + y = 5 and 5x + 3y = 11.
(2) Kavitha went to a bank to withdraw Rs. 8,000. She asked the cashier to give the cash in Rs. 100 and Rs. 500 notes only. She got 32 notes in all. Can you tell how many notes each of Rs. 100 and Rs. 500 she received?
(3) Solve the equations graphically: 3x + 4y = 10 and 4x − 3y = 5
(4) Find the solution of x + 2y = 10 and 2x + 4y = 8 graphically.
(5) Find the equation of the straight line parallel to the line 3x + 4y = 7 and passing through the point of intersection of the lines x - 2y - 3 = 0 and x + 3y - 6 = 0.