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If log₃ 2, log₃ (2^x -5) and log₃ (2^x – 7/2) are in AP, then x is equal to

1) 8 2) 3 3) – 8 4) – 3 Solution: (2) 3 log3 2, log3 (2x -5) and log3... View Article

1) log [2n-1 / 3n+1]n/2 2) log [2n+1 / 3n-1]n/2 3) log [3n-1 / 2n+1]n/2 4) log [3n+1 / 2n-1]n/2... View Article

1) a GP 2) an AP 3) a HP 4) both a GP and a HP Solution: (2) an AP... View Article

1) 1 2) 2 3) 0 4) – 1 Solution: (1) 1 [log x / (b – c)] = [log... View Article

1) x – y = – 1 2) x – 2y = 3 3) x + y = 3 4)... View Article

1) x – y = 0 2) ax + by = 0 3) bx + ay = 0 4) x... View Article

1) 3/4 2) 1/12 3) 1/5 4) 5 Solution: Given the intercepts with the coordinate axes are 1/3 and ¼.... View Article

1) 15/√34 2) √17/2 3) 17/2 4) √(17/2) Solution: The equation of lines passing through two points (x1, y1) and... View Article

1) 7 2) – 7 3) ± 7 4) 0 Solution: If the points lie on the same straight line,... View Article

1) 5h2 = 9ab 2) 5h2 = ab 3) h2 = ab 4) 9h2 = 5ab Solution: Given ax2 +... View Article

1) (2, 1) 2) (-1, 4) 3) (1, 2) 4) (4, – 1) Solution: Let M(h, k) be the point... View Article

1) 2x + 5y + 17 = 0 2) 2x + 5y – 17 = 0 3) 2x – 5y... View Article

1) |a|= 2 2) |a|= 3 3) |a| < 2 4) |a| < 3 Solution: Given |x + y| =... View Article

1) 3y + x – 8 = 0 2) 3x + y + 6 = 0 3) x + 3y... View Article

1) 2 2) – 2 3) – 5 4) 3 Solution: Given kx2 – 2xy – y2 – 2x +... View Article

1) (1, 1) 2) (2, 2) 3) (3, 3) 4) (4, 4) Solution: Equation of the line in intercept form... View Article

(1) (-7/3, 7/3) (2) (8/3, 8/3) (3) (-8/3, 8/3) (4) (4/3, 4/3) Solution: Given pair of straight lines 12x2 –... View Article

1) – 16 2) 16 3) 4 4) – 4 Solution: Given ax2 – y2 + 4x – y =... View Article

1) 5/2 2) 5 3) 2 4) 2/5 Solution: Given x2 + pxy + y2 – 5x – 7y +... View Article

1) (x2 + – x)2 = 9 2) xy = 0 3) (3 + y)2 + y2 = 9 4)... View Article