Class 8 rs aggarwal exercise 10a

Chapter Name RS Aggarwal Chapter 10 Quadratic Equation Book Name RS Aggarwal Mathematics for Class 10 Other Exercises • Exercise 10B • Exercise 10C • Exercise 10D • Exercise 10E • Exercise 10F Related Study NCERT Solutions for Class 10 Maths Exercise 10A Solutions 1. Which of the following are quadratic equation in x ? (i) x 2– x + 2 = 0 (ii) 2x 2 + 5/2x – 3 = 0 (iii) √2x 2 + 7x + 5√2 (iv) 1/3x 2 + 1/5x – 2 = 0 (v) x 2– 3x - √x + 4 = 0 (vi) x – 6/x = 3 (vii) x 2– 2/x = x 2 (viii) x 2 – 1/x 2 = 5 (ix) (x + 2) 3 = x 3 – 8 (x) (2x + 3(3x + 2) = 6(x – 1)(x – 2) (xi) (x + 1/x) 2 = 2(x + 1/x) + 3 Solution (i) (x 2– x + 3) is a quadratic polynomial ∴ x 2– x + 3 = 0 is a quadratic equation. (ii) Clearly, (2x 2 + 5/2.x - √3) is a quadratic polynomial. ∴ 2x 2 + 5/2.x - √3 = 0 is a quadratic equation. (iii) Clearly, (√2x 2+ 7x + 5√2) is a quadratic polynomial. √2x 2+ 7x + 5√2 = 0 is a quadratic equation. (iv) Clearly, (1/3x 2 + 1/5.x – 2) is a quadratic polynomial. ∴ 1/3x 2+ 1/5x – 2 = 0 is a quadratic equation. (v) (x 2– 3x -√x + 4) contains a term with √x, i.e., x 1/2, where 1/2 is not a integer. Therefore, it is not a quadratic polynomial. ∴ x 2– 3x- √x + 4 = 0 is not a quadratic equation. (vi) x – 6/x = 3 ⇒ x 2– 6 = 3x ⇒ x 2– 3x – 6 = 0 (x 3– 3x – 6) is not quadratic polynomial; therefore, the given equation is quadratic. (vii) x 2– 2/x = x 2 ⇒ x 2 + 2 = x 3 ⇒ x 3– x 2– 2 = 0 (x 3– x 2– 2) = 0 is not a quadratic polynomial. ∴ x 3– x 2– 2 = 0 is not a quadratic equation. (viii) x ...

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