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Solve the followings Questions. 1. Find the roots of the following quadratic equations if they exist by the method of completing square. (i) 2×2 – 7x + 3 = 0(ii) 2×2+ x – 4 = 0(iii) 4×2+4√3x+3 = 0(iv) 2×2+ x…
Solve the followings Questions. 1. Find the roots of the following Quadratic Equations by factorization. (i) x2-3x-10 = 0 Answer:x2-3x-10 = 0x2-5x+2x-10 = 0x(x-5)+2(x-5) = 0(x-5)(x+2) = 0⇒ x-5 = 0 or, x+2 = 0x = 5 or x =-2Hence…
Solve the followings Questions. 1. Check whether the following are quadratic equation?(i) (x+1)2 = 2(x-3)(ii) x2-2x = (-2)(3-x)(iii) (x − 2) (x + 1) = (x − 1) (x + 3)(iv) (x − 3) (2x + 1) = x (x +…
1. The age of two friends Ani and Biju differ by 3 years. Ani’s father Dharam is twice as old as Ani and Biju is twice as old as his sister Cathy. The ages of Cathy and Dharam differ by…
1. Solve the following pairs of equations by reducing them to a pair of linear equations: (i) 1/2x + 1/3y = 21/3x + 1/2y = 13/6 (ii) 2/√x +3/√y = 24/√x – 9/√y = -1 (iii) 4/x + 3y = 143/x – 4y = 23…
1. Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method. (i) x – 3y – 3 = 0…
1. Solve the following pair of linear equations by the elimination method and the substitution method: (i) x + y = 5, 2x – 3y = 4 (ii) 3x + 4y = 10, 2x – 2y = 2 (iii) 3x…
1. Solve the following pair of linear equations by the substitution method. (i) x + y = 14 x – y = 4 (ii) s – t = 3 s/3 + t/2 = 6 (iii) 3x – y = 3…
1. Form the pair of linear equations in the following problems, and find their solutions graphically. (i) 10 students of class X took part in a mathematics quiz. If the number of girls is 4 more than the number of…
Solve the followings Questions. 1. Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” (Isn’t this…