CBSE [ Delhi ]_X_Mathematics_2005_Set I

Solve the following system of linear equations:

Express the following as a rational expression in lowest terms:

Find 10th term from end of the A.P. 4, 9, 14,..254.

Solve for x :
abx² + (b² - ac)x - bc = o

Find the L.C.M. of the following polynomials: 2x² - 128, x² - 9x + 20, x² - 16.

Solve for x :

 

Find the number of terms of the A.P. 54, 51, 48 ... so that their sum is 513.

If the nth term of an A.P. is (2n + 1), find the sum of first n terms of the A.P.

A loan of Rs 10,815 is to be returned in three equal half-yearly installments.Calculate the amount of each installment, if the rate of interest is  per  annum, compounded half-yearly. 

A fan is available for Rs 970 cash or Rs 210 as cash down payment followed by three equal monthly installments of Rs 260 each. Find the rate of interest charged under installment plan.