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Find an approximation of (0.99)5 using the first three terms of its expansion.
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Expand using Binomial Theorem `(1+ x/2 - 2/x)^4, x != 0`
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Find the expansion of (3x2 – 2ax + 3a2)3 using binomial theorem.
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Find the equation of the line which satisfy the given condition:
Write the equations for the x and y-axes.
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Find the equation of the line that satisfies the given condition:
Passing through the point (−4, 3) with slope `1/2`.
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Find the equation of the line which satisfy the given condition:
Passing though (0, 0) with slope m.
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Find the equation of the line which satisfy the given condition:
Passing though `(2, 2sqrt3)` and is inclined with the x-axis at an angle of 75°.
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Find the equation of the line which satisfy the given condition:
Intersects the x-axis at a distance of 3 units to the left of origin with slope –2.
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Find the equation of the line which satisfy the given condition:
Intersects the y-axis at a distance of 2 units above the origin and making an angle of 30° with the positive direction of the x-axis.
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Find the equation of the line which satisfy the given condition:
Passing through the points (–1, 1) and (2, –4).
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Find the equation of the line which is at a perpendicular distance of 5 units from the origin and the angle made by the perpendicular with the positive x-axis is 30°
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Find the equation of the line which satisfy the given condition:
The vertices of ΔPQR are P (2, 1), Q (–2, 3) and R (4, 5). Find equation of the median through the vertex R.
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The vertices of ΔPQR are P (2, 1), Q (–2, 3) and R (4, 5). Find equation of the median through the vertex R.
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Find the equation of the line passing through (–3, 5) and perpendicular to the line through the points (2, 5) and (–3, 6).
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A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides it in the ratio 1:n. Find the equation of the line.
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Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).
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Find equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9.
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Find equation of the line through the point (0, 2) making an angle `(2pi)/3` with the positive x-axis. Also, find the equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin.
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The perpendicular from the origin to a line meets it at the point (– 2, 9), find the equation of the line.
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The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment, if L = 124.942 when C = 20 and L = 125.134 when C = 110, express L in terms of C
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