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Relations and Functions
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Inverse Trigonometric Functions
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Matrices
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Determinants
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Continuity and Differentiability
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Application of Derivatives
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Integrals
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Differential Equations
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Probability
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Vectors
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Three - Dimensional Geometry
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Application of Integrals
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Applications of Calculus in Commerce and Economics
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Linear Regression
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Linear Programming
Application of Differential Equations
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Q1Marks:1
Answer:
(y - 1)(x + 1) - 2x = 0.
Explanation:
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Q2
The curve in which the slope of the tangent at any point equals the ratio of the abscissa to the ordinate of the point is
Marks:1Answer:
a rectangular hyperbola.
Explanation:
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Q3Marks:1
Answer:
2loge10.
Explanation:
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Q4
The slope of a curve at any point is the reciprocal of twice the ordinate at that point and it passes through the point (4, 3). The equation of the curve will be
Marks:1Answer:
y2 = x + 5.
Explanation:
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Q5
The population of a country doubles in 40 years. Assuming that the rate of increase is proportional to the number of inhabitants, the number of years in which it would treble itself is:
Marks:1Answer:
Explanation: