The dimensions of a prayer hall were in the form of algebraic expressions, when
multiplied, gives the product 2x2
– 5x + 3 = 0.
Observe the quadratic equation and answer the following questions based on it:
(a) Which one of the following is a root of a quadratic equation?
(i) 1
(ii) 2/3
(iii) 1/4
(iv) 4/5
(b) Which one of the following are the factors of the given quadratic equation?
(i) (2x – 3)(x – 1)
(ii) (2x – 5)(x – 3)
(iii) (2x – 2)(x – 3)
(iv) (2x – 3)(x – 5)
(c) What is the nature of roots of the given quadratic equation?
(i) two distinct real roots
(ii) no real roots
(iii) two equal real roots
(iv) none of the above
(d) What is the value of b2
– 4ac of the given quadratic equation?
(i) 0
(ii) -1
(iii) 1/2
(iv) 1
(e) The sum of the roots of the given quadratic equation is ……..
(i) 3/2
(ii) 5/2
(iii) 2/3
(iv) 7/2
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