Question
I. 18p²- 21p + 6 = 0    II. 16q² - 24q
+9 = 0 In each of these questions two equations numbered I and II are given. You have to solve both the equations and give answer, if –Solution
I. 18p² -21p +6 = 0 ⟹ 6p² - 7p + 2 = 0 ⟹6p²- 4p – 3p + 2 = 0 ⟹ 2p (3p - 2)-1(3p - 2) = 0 ⟹ (2p-1) (3p-2) = 0 ⟹ p = 1/2,2/3 II. 16q² - 24q + 9 = 0 ⟹ (4q - 3)² = 0 ⟹ q = 3/4 ∴ p < q
I. 96x² + 52x - 63 = 0
II. 77y² + 155y + 72 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 21x + 110 = 0
Equation 2: y² - 23y + 132 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 38x + 352 = 0
Equation 2: y² - 38y + 312 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
If x² + 2x + 9 = (x – 2) (x – 3), then the resultant equation is:
I. x²= 961Â
II. y= √961
I. 14p2 – 135p + 81 = 0
II. 7q2 – 65q + 18 = 0
I. 7x + 8y = 36
II. 3x + 4y = 14
I. 63x2 + 148x + 77 = 0
II. 21y2 + 89y + 88 = 0
(i) x² – 3x – 40 = 0
(ii) y² + 11y + 30 = 0
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