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Chapter 7
Inverse Trigonometry Continuity and Differentiability
Mathematics•Class 12•CBSE
55 Questions Available
Showing 20 questions on this page
1
If y = (tan–1x)2, show that (x2 + 1)2 y2 + 2x(x2 + 1)y1 = 2
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2
Verify Rolle’s theorem for the function
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3
If x = a (θ-sinθ), y = a (1+cosθ), find
d²y/dx²
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4
If the function
is continuous at x = 1, find the values of ‘a’ and ‘b’.
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5
If y = cosec–1 x, x > 1, then show that
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6
If
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7
Find the values of a and b such that the function defined by
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8
Differentiate the functions:
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9
Differentiate w.r.t. x
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10
If
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11
If x = asin2t(1+cos2t) and y = b cos2t(1-cos2t), show that
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12
For a positive constant ‘a’ find
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13
For what value of λ is the function defined by
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14
If
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15
If cosy = xcos (a+y), with cos a≠ ±1, prove that
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16
If
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17
If
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18
If
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19
If x = a sint and y = a
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20
If
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