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At Any Point Of A Curve Sub Tangent Sub Normal Is Equal To The Square Of The

1) Slope of the tangent at the point 2) Slope of the normal at the point 3) Abscissa of the... View Article

1) 2 2) 1 3) 3 4) –3 Solution: (1) 2 2x2 + 3y2 = 6 2 ∙ 2x +... View Article

1) r = 2h 2) h = 2r 3) h = r 4) h = 4r Solution: (1) r =... View Article

1) m + n 2) m – n 3) n – m 4) m2 – n2 Solution: (1) m +... View Article

1) 1 2) 2 3) 3 4) 4 Solution: (3) 3 f (x) = |x – (1 / 2)| +... View Article

1) a 2) |a| 3) a2 4) a3 Solution: (1) a (x / a)⅔ = cos2 θ and (y /... View Article

1) 7 2) 13 3) 20 4) 0 Solution: (4) 0 x13y7 = (x + y)20 13 log x +... View Article

1) xy 2) xx 3) yx 4) x Solution: (2) xx y = xx, log y = x . log... View Article

1) 27 / 32 2) 32 / 27a 3) 32 / 27 4) 27 / 32 Solution: (2) 32 /... View Article

4) None of these Solution: (2) (d / dx) (3(log)10 (cosec)–1x) = 3x(log)10 (cosec)–1x ∙ log103 ∙ (d / dx)... View Article

1) 2 2) 1 / 2 3) – 2 4) – 1 / 2 Solution: (2) 1 / 2 y... View Article

1) 1 2) 2 3) 2 (1 / 2) 4) 3 (1 / 3) Solution: (2) 2 xy = 1... View Article

1) 22 2) 11 3) 0 4) 5 Solution: (1) 22 f’’ (x) = f (x) and f’ (x) =... View Article

1) f (g (x)) > f (g (x + 1)) 2) f (g (x) < f (g (x + 1))... View Article

1) 1.2 2) 1.4 3) 1.6 4) 1.8 Solution: (3) 1.6 Let y = f (x) = x3000 x =... View Article

1) Even function 2) Odd function 3) Not define 4) Increasing Function Solution: (2) Odd function It is an odd... View Article

1) 3, |x| < 1 2) 3, |x| ≤ 1 / 2 and -3, 1 / 2 < |x| <... View Article

1) 0 2) 1 3) –1 4) 2 Solution: (2) 1 (dy / dx)x=0 = f (f (f (x))), dy... View Article

1) 5 2) 10 3) 0 4) 15 Solution: g (x) = f ‘ (x) — (i) g’ (x) =... View Article

1) 2n 2) 2n-1 3) 0 4) 1 Solution: (3) 0 f (x) = xn f’ (x) = nxn-1 f’’... View Article