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Let the first term of the AP be a & the common difference = d 8th term = A8 = a + 7d 12th term = A12 = a + 11d According to question, 8 × (a + 7d) = 12 × (a + 11d) 8a + 56d = 12a + 132d 12a − 8a = 56d − 132d 4a = −76d a = −19d a + 19d = 0 = A20
I. 35x² - 51x + 18 = 0
II. 30y² + 17y – 21 = 0
I. 25p + 2(2p2 – 1) = 8(p + 5)
II. 8q2 + 35q – 78 = 0
I. (x13/5 ÷7) = 5488 ÷ x7/5
II. (y2/3 × y2/3 ) ÷ √4 = (343y)1/3...
I. x2 – 19x + 88 = 0
II. (y + 4)2 = 121
Equation 1: x² + 16x + 63 = 0
Equation 2: y² + 10y + 21 = 0
I. x2 + 24x + 143 = 0
II. y2 + 12y + 35 = 0
I. 165x² + 97x + 10 = 0
II. 117y² - 163y + 56 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 2x² - 8x + 6 = 0
Equation 2: y² - 7y + 10 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 34x + 285 = 0
Equation 2: y² - 26y + 165 = 0
l). 3p + 2q = 27
ll). 4p - 3q = 2
