What Is The Difference Between Derivative And Differential
The following is the table explaining the difference between derivative and differential: Derivative Differential Derivative is used for representing the... View Article
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What Is The Difference Between Arithmetic Mean And Geometric Mean
The following is the table explaining the difference between arithmetic mean and geometric mean: Arithmetic mean Geometric mean Arithmetic mean... View Article
If G X Then The Equation Of The Normal To Y G X At The Point 3 Log 2 Is
Then the equation of the normal to y = g (x) at the point (3, log 2) is 1) y... View Article
If Ax 2 Bx 4 Attains Its Minimum Value 1 At X 1 Then The Values Of A And B Are Respectively
1) 5, -10 2) 5, -5 3) 10, -5 4) 10, 10 Solution: (1) 5, -10 f (x) = ax2... View Article
The Stone Is Thrown Vertically Upwards And The Height X Feet Reached By The Stone In T Sec Is Given
1) 2 s 2) 2.5 s 3) 3 s 4) 1.5 s Solution: (2) 2.5 s x = 80t –... View Article
The Maximum Value Of Logx X In 2 Infinity Is
1) 1 2) 2/e 3) e 4) 1/e Solution: (4) 1 / e y = logx / x dy /... View Article
Divide 12 Into Two Parts Such That The Product Of The Square Of One Part And The Fourth Power Of The Second Part Is Maximum Are
1) 6, 6 2) 5, 7 3) 4, 8 4) 3, 9 Solution: (3) 4, 8 Let the parts be... View Article
The Slope Of The Tangent To The Curves X T 2 3t 8 Y 2t 2 2t 5 At The Point 2 1 Is
1) 22/7 2) 6/7 3) -6 4) -7 Solution: (2) 6 / 7 m = dy / dx = (dy... View Article
The Point Of The Curve Y 2 2 X 3 At Which The Normal Is Parallel To The Line Y 2x 1 0 Is
1) (5, 2) 2) (-(1/2), -2) 3) (5, -2) 4) (3/2, 2) Solution: (3) (5, -2) y2 = 2(x –... View Article
The Abscissa Of The Points Where The Tangent To Curve Y X 3 3x 2 9x 5 Is Parallel To X Axis Are
1) x = 0 and 0 2) x = 1 and -1 3) x = 1 and -3 4) x... View Article
If The Cubic Equation X 3 Px Q Has Three Distinct Real Roots Where P 0 And Q 0
1) The cubic has maxima at both √p / 3 and – √p / 3 2) The cubic has minima... View Article
For The Function F X Xe X The Point
1) x = 0 is a maximum 2) x = 0 is a minimum 3) x = -1 is a... View Article
If F X X 2 4x 1 Then
1) f (x) = f (-x), ? x 2) f (x) ? 1, ? x = 0 3) f ”... View Article
The Normal At Point 1 1 Of The Curve Y 2 X 3 Is Parallel To The Line
1) 3x – y – 2 = 0 2) 2x + 3y – 7 = 0 3) 2x – 3y... View Article
The maximum value of function f (x) = sinx (1 + cosx) x ϵ R is
1) 33/2 / 4 2) 35/3 / 4 3) 3 / 2 4) 37/5 / 4 Solution: (1) 33/2 /... View Article
The Function F X X 3 Ax 2 Bx C A 2 3b Has
1) one maximum value 2) one minimum value 3) no extreme value 4) one maximum and one minimum value Solution:... View Article
If Y Sin X A Sin X B A Not Equal To B Then Y Is
1) minimum at x = 0 2) maxima at x = 0 3) neither minima nor maxima at x =... View Article
If Sum Of Two Numbers Is 6 Then The Minimum Value Of The Sum Of Their Reciprocals Is
1) 6/5 2) 3/4 3) 2/3 4) 1/2 Solution: (3) 2 / 3 Let the 2 numbers be a and... View Article
The Smallest Circle With Centre On Y Axis And Passing Through The Point 7 3 Has Radius
1) √58 2) 7 3) 3 4) 4 Solution: (2) 7 Centre = (h, k) D = √(7 – 0)2... View Article
The Length Of The Normal To The Curve X A Theta Sin Theta Y A 1 Cos At Theta Pi 2 Is
1) 2a 2) a/2 3) a/√2 4) √2a Solution: (4) √2a Length of normal = y √1 + (dy /... View Article
