RD Sharma class 10 solutions Chapter 8 Quadratic Equations Ex 8.12 RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.12 Question 1. A takes 10 days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days, find the time…
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RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.11 Question 1. The perimeter of a rectangular field is 82 m and its area is 400 m². Find the breadth of the rectangle. Solution: Perimeter of a rectangle field = 82 m Length + Breadth = = 41 m Let breadth = x m Length =…
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RD Sharma class 10 solutions Chapter 8 Quadratic Equations Ex 8.10 RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.10 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 5 cm. Find the lengths of these sides. Solution: Length…
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RD Sharma class 10 solutions Chapter 8 Quadratic Equations Ex 8.9 RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.9 Question 1. Ashu is x years old while his mother Mrs. Veena is x² years old. Five years hence Mrs. Veena will be three times old as Ashu. Find their present ages. Solution: Present age…
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RD Sharma class 10 solutions Chapter 8 Quadratic Equations Ex 8.8 RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.8 Question 1. The speed of a boat in still water is 8 km/hr. It can go 15 km upstream and 22 km downstream in 5 hours. Find the speed of the stream. Solution: Let the…
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RD Sharma class 10 solutions Chapter 8 Quadratic Equations Ex 8.7 RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.7 Question 1. Find two consecutive numbers whose squares have the sum 85. (C.B.S.E. 2000) Solution: Let first number = x Then second number = x + 1 According to the condition x² + (x +…
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RD Sharma class 10 solutions Chapter 8 Quadratic Equations Ex 8.6 RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.6 Question 1. Determine the nature of the roots of following quadratic equations : (i) 2x² – 3x + 5 = 0 [NCERT] (ii) 2x² – 6x + 3 = 0 [NCERT] (iii) x² – x…
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RD Sharma class 10 solutions Chapter 8 Quadratic Equations Ex 8.5 RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.5 Question 1. Write the discriminant of the following quadratic equations : (i) 2x² – 5x + 3 = 0 (ii) x² + 2x + 4 = 0 (iii) (x – 1) (2x – 1) =…
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RD Sharma class 10 solutions Chapter 8 Quadratic Equations Ex 8.4 RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.4 Find the roots of the following quadratic equations (if they exist) by the method of completing the square. Question 1. x² – 4 √2x + 6 = 0 Solution: Question 2. 2x² – 7x +…
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RD Sharma class 10 solutions Chapter 8 Quadratic Equations Ex 8.3 RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.3 Solve the following quadratic equations by factorization. Question 1. (x – 4) (x + 2) = 0 Solution: (x – 4) (x + 2) = 0 Either x – 4 = 0, then x =…
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