The Abscissa Of The Point On The Curve Y A E X A E X A Where The Tangent
1) 0 2) a 3) 2a 4) –2a Solution: (1) 0 y = a (ex/a + e–x/a) (dy / dx)... View Article
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The Equation Of The Tangent To The Curve X 2 Cos 3 Theta And Y 3 Sin 3 Theta
1) 2x + 3y = 3√2 2) 2x – 3y = 3√2 3) 3x + 2y = 3√2 4) 3x... View Article
If St And Sn Are The Lengths Of The Subtangent And The Subnormal
1) ST = SN 2) ST = 2SN 3) ST2 = aSN3 4) ST3 = aSN Solution: (1) ST =... View Article
The Normal To The Curve X A 1 Cos Theta Y A Sin Theta At Always Passes
1) (a, a) 2) (0, a) 3) (0, 0) 4) (a, 0) Solution: (4) (a, 0) The equation of normal... View Article
If A Tangent To The Curve Y 6x X 2 Is Parallel To The Line 4x 2y 1 0
1) (2, 8) 2) (8, 2) 3) (6, 1) 4) (4, 2) Solution: (1) (2, 8) y = 6x –... View Article
If The Normal To The Curve Y 2 5x 1 At The Point 1 2 Is Of The Form
1) 4, –14 2) 4, 14 3) –4, 14 4) –4, –14 Solution: (1) 4, –14 y2 = 5x –... View Article
The Angle Between The Curves Y Sin X And Y Cos X Is
1) tan-1 (2√2) 2) tan-1 (3√2) 3) tan-1 (3√3) 4) tan-1 (5√2) Solution: (1) tan-1 (2√2) The point of intersection... View Article
For The Curve Xy C 2 The Subnormal At Any Point Varies As
1) x2 2) x3 3) y2 4) y3 Solution: (4) y3 xy = c2 Subnormal is y (dy / dx).... View Article
Angle Between The Tangent To The Curve Y X 2 5x 6 At The Points 2 0 And 3 0 Is
1) π / 3 2) π / 2 3) π / 6 4) π / 4 Solution: (2) π /... View Article
The Angle Between The Curves Y 2 4x 4 And Y 2 36 9 X Is
1) 30o 2) 45o 3) 60o 4) 90o Solution: (4) 90o y2 = 4x + 4 and y2 = 36(9... View Article
The Equation Of The Tangent To Curve Y Be X A At The Point Where It Crosses Y Axis Is
1) ax + by = 1 2) ax – by = 1 3) (x / a) – (y / b)... View Article
The Equation Of The Tangent To The Curve 1 X 2 Y 2 X Where It Crosses The X Axis Is
1) x + 5y = 2 2) x – 5y = 2 3) 5x – y = 2 4) 5x... View Article
The Tangent Drawn At The Point 0 1 On The Curve Y E 2x Meets X Axis At The Point
1) (1 / 2, 0) 2) (-1 / 2, 0) 3) (2,0) 4) (0,0) Solution: (2) (-1 / 2, 0)... View Article
The Length Of The Normal At Point T Of The Curve X A T Sin T Y A 1 Cos T Is
1) a sin t 2) 2asin3 (t / 2) sec (t / 2) 3) 2asin (t / 2) tan (t... View Article
At What Point On The Curve X 3 8a 2y 0 The Slope Of The Normal Is 2 3
1) (a, a) 2) (2a, –a) 3) (2a, a) 4) None of these Solution: (3) (2a, a) x3 – 8a2y... View Article
The Equation Of The Tangent To The Curve X T 1 T 1
1) x + 9y – 6 = 0 2) 9x – y – 6 = 0 3) 9x + y... View Article
The Equation Of Tangent At 4 4 On The Curve X 2 4y Is
1) 2x + y + 4 = 0 2) 2x – y – 6 = 0 3) 2x + y... View Article
If The Curve Y A X And Y B X Intersect Alpha Then Tan Alpha
1) [a – b] / [1 + ab] 2) [log a – log b] / [1 + log a log... View Article
Does Electrolysis Produce Electricity
Electrolysis is the process that converts electrical energy to chemical energy by converting the substance into its original components. The... View Article
Why Does Pressure Increase When Volume Decreases
When the volume of the gas is decreased the particles will collide with the walls of the container more frequently.... View Article
