Question
Solution
1/4 - √ 8 + 3 + 2√2/3 - 2√2 – 3 - 2√2/3 + 2√2 = a + b√2 Rationalizing each we get 1/4 - √8 → 1/4 -√8 × 4 + √8 / 4 + √8 = 4 + √8 / 8 Same for other values = 3 + 2√2 / 3 – 2√2 = 17 + 12√2 = 3 - 2√2 / 3 + 2√2 = 17 - 12√2 = 4 + √8 / / + 17 + 12√2 – 17 + 12√2 On solving 1/2 + 97√2/4 = a + b√2 So, a = 1/2 and b = 97/4 (3 × 1/2 + 4 × 97/4) = 3/2 + 97 = 197/2
(i) 2x² – 12x + 16 = 0
(ii) 2y² – 20y + 48 = 0
I. x2 – 13x + 36 = 0
II. 3y2 – 29y + 18 = 0
Solve: 3x² − 7x − 6 = 0
I. 5x + 2y = 31
II. 3x + 7y = 36
What is the average salary of 10 officers , if a clerk’s salary is Rs. 15,000?
Statement I: The total salary of 10 officers and 5 clerk is Rs....
For what values of k does the equation x² – (k+1)x + k = 0 have two distinct real roots, both greater than 1?
I. x2 + x – 42 = 0
II. y2 + 6y – 27 = 0
I. 25p + 2(2p2 – 1) = 8(p + 5)
II. 8q2 + 35q – 78 = 0
I. x2 + 24x + 143 = 0
II. y2 + 12y + 35 = 0
I. 2x² - 12x + 16 = 0
II. 4y² - 8y - 12 = 0
