Question 11. If α and β are the zeroes of the quadratic polynomial f(x) = 6x2 + x – 2, find the value of (α/β)… Read More

# Tag Archives: RD Sharma Class-10

Question 1. Find the zeros of each of the following quadratic polynomials and verify the relationship between the zeros and their coefficients: (i) f(x) =… Read More

Question 14. The 4th term of an A.P. is three times the first and the 7th term exceeds twice the third term by 1. Find… Read More

Question 1. Find: (i) 10th tent of the AP 1, 4, 7, 10…. (ii) 18th term of the AP √2, 3√2, 5√2, ……. (iii) nth… Read More

Problem 11: Five coins were simultaneously tossed 1000 times and at each toss, the number of heads was observed. The number of tosses during which… Read More

Problem 1: Calculate the mean for the following distribution: x: 5 6 7 8 9 f: 4 8 14 11 3 Solution: x f fx… Read More

Question 11. In the figure, PQ is tangent at a point R of the circle with centre O. If ∠TRQ = 30°, find m ∠PRS… Read More

Question 1. Fill in the blanks : (i) The common point of a tangent and the circle is called ………. Solution: Point of contact. (ii)… Read More

Question 1. If PT is a tangent at T to a circle whose centre is O and OP = 17 cm, OT = 8 cm.… Read More

Question 1. The hypotenuse of a right triangle is 25 cm. The difference between the lengths of the other two sides of the triangle is… Read More

Q1. Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also, verify the relationship between the zeros and coefficients in… Read More

Question 1. Show that the following numbers are irrational. (i) 1/√2 Solution: Let assume that 1/√2 is a rational number Let us assume 1/√2 = r… Read More

Question 1. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal… Read More

Question 11. The cost of 4 pens and 4 pencil boxes is ₹ 100. Three times the cost of a pen is ₹ 15 more… Read More

Question 1. 5 pens and 6 pencils together cost ₹ 9 and 3 pens and 2 pencils cost ₹ 5. Find the cost of 1… Read More