Question 1. In each of the following systems of equation determine whether the system has a unique solution, no solution, or infinite solutions. In case… Read More

# Tag Archives: RD Sharma Class-10

Question 49. Find the sum of first n odd natural numbers. Solution: First odd natural numbers are 1, 3, 5, 7, . . .2n –… Read More

Question 1. (i) In fig., if AB || CD, find the value of x. Solution: Given, AB∥ CD. To find the value of x. Now,… Read More

Question 27. For what value of a, the following system of the equation has no solution: ax + 3y = a − 3 12x +… Read More

Question 25. In an A.P. the first term is 22, nth term is –11 and the sum of first n term is 66. Find n… Read More

Question 1. Find the sum of the following arithmetic progressions: (i) 50, 46, 42, … to 10 terms Solution: Given A.P. has first term(a) =… Read More

Question 14. Find the value of k for which each of the following system of equations having infinitely many solutions: 2x + 3y =… Read More

Question 1. The sum of two numbers is 8. If their sum is four times their difference, find the numbers. Solution: Let us assume the… Read More

Question 1. AB is a chord of a circle with centre O and radius 4 cm. AB is of length 4 cm and divides the… Read More

Question 1. A piece of cloth costs ₹ 35. If the piece were 4 m longer and each metre costs ₹ 1 less, the cost… Read More

Question 1. Draw an ogive by less than the method for the following data: No. of rooms 1 2 3 4 5 6 7 8… Read More

Question 21. (16/x) – 1 = 15/(x + 1), x ≠ 0, -1. Solution: We have equation, (16/x) – 1 = 15/(x + 1) (16… Read More

Question 1. Suppose you drop a tie at random on the rectangular region shown in fig. below. What is the probability that it will land inside… Read More

Question 13. A part of monthly hostel charges in a college are fixed and the remaining depend on the number of days one has taken… Read More

Question 1. If in a rectangle, the length is increased and breadth reduced each by 2 units, the area is reduced by 28 square units.… Read More