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Let H X F X F X 2 F X 3 For Every Real Number X Then

1) h is increasing whenever f is increasing 2) h is increasing whenever f is decreasing 3) h is decreasing... View Article

1) does not exist because f is unbounded 2) is not attained even though f is bounded 3) is equal... View Article

1) 0 2) 1 3) 2 4) infinite Solution: (2) 1 f (x) = cos x + cos (√2x) is... View Article

1) both f(x) and g(x) are increasing functions 2) both f(x) and g(x) are decreasing functions 3) f(x) is increasing... View Article

1) x sin φ + y cos φ = a 2) y cos φ − x sin φ = a... View Article

1) A.P. 2) G.P. 3) H.P 4) None of these Solution: (2) G.P. Let P1 (x1, y1) be a point... View Article

1) {(0, 0)}, {(0, 1)} 2) φ, {(1, 1)} 3) {(1, 1)}, {(0, 0)} 4) None of these Solution: (2)... View Article

1) (e,1) or (1,e) 2) (1, 1 / e) or (- 1, 1 / e) 3) (- 1, 2 /... View Article

1) 3 / 2 2) 2 3) 5 / 3 4) None of these Solution: (4) None of these f... View Article

1) y = 0 2) x + y = 1 3) x = 0 4) None of these Solution: (3)... View Article

1) p ≠ q 2) r ≠ q 3) r ≠ p 4) p = q = r Solution: (3)... View Article

1) f(x) has a local maxima at x = 1 2) f(x) has a local minima at x = 1... View Article

1) 9 : 4 2) 4 : 5 3) 7 : 3 4) none of these Solution: (1) 9 :... View Article

1) (2a2 / b4) cm2 / min 2) (a2 / 2b2) cm2 / min 3) (2a / b) cm2 /... View Article

1) (−2, 2) 2) (−3, 3) 3) (0, 2) 4) none of these Solution: (1) (−2, 2) |dx| > |dy|... View Article

1) (x1 / x2) + (y1 / y2) = 0 2) (x2 / x1) + (y2 / y1) = 0... View Article

1) 190 2) 191 3) 200 4) 52 Solution: (2) 191 Kamal has x children. Ritu has (x + 1)... View Article

1) exactly one minimum 2) exactly one maximum 3) at least one maximum 4) None of these Solution: (1) exactly... View Article

1) a2 < 625, b2 < (25 / 4) 2) a2 > (625 / 16), b2 > (25 / 4)... View Article

(1) 1-√3 : 2 : 1+√3 (2) 1: √2:-√3 (3) 1: -√2:√3 (4) -1±√3 : 2 : -1∓√3) Solution: Since... View Article