Algebra

Math Adda

of the following:
Q. 1. Solve for x and y: x – 4y = 13 and 3x + 2y = – 3.
Q. 2. Find the discriminant of the quadratic equation 3x2 – 5x – 11 = 0.
Q. 3. Find AP, if first term – 1 and common difference is 2.

Q. 4. Write the formula for sum of first n terms of an AP whose first term is a and the last term is l.
Q. 5. Find the value of k, so that the pair of linear equations will have infinite number of solutions: x +
(2k – 1)y = 4 and kx + 6y = k + 6.
Q. 6. Draw the graphs of the equations 4x – y – 8 = 0 and 2x – 3y + 6 = 0. Also determine the vertices
of the triangle formed by the lines and x – axis.
Q. 7. In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks
more in Mathematics and 3 marks less in English, the product would have been 210, find her marks in
the two subjects.
Q. 8. If the pthterm of an AP is q and the qthterm is p. Find the rthterm.
Q. 9. Find the zeroes of the quadratic polynomial 8x2 – 4 and verify the relationship between zeroes
and their coefficients.
Q. 10. Solve the following system of linear equations: 2(ax – by) + (a + 4b) = 0 and 2(bx + ay) + (b –
4a) = 0.
Q. 11. Solve for x: 9x2 – 9(a + b)x + (2a2 + 5ab + 2b2) = 0
Q. 12. If m times the mth term of an AP is equal to n times its nth term, find its (m + n)th term.