Maths-
General
Easy
Question
If r means (log log log......), the log being repeated r times, then
is equal to
-
- + c
-
- None of these
The correct answer is:
To find the value of .
Therefore, the value of is
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A man standing between two parallel hills, claps his hand and hears successive echoes at regular intervals of 11s If velocity of sound is then the distance between the hills is
A man standing between two parallel hills, claps his hand and hears successive echoes at regular intervals of 11s If velocity of sound is then the distance between the hills is
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A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that is equal to Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in AB is equal to 2nd harmonic frequency in CD. Then, length of BO is
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If Ax + B log sin (x – ) + c, then value of (A, B) is –
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The equation of the tangent to the parabola y = (x – 3)2 parallel to the chord joining the points (3, 0) and (4, 1) is -
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The line x + y = a touches the parabola y = x – x2, and f (x) = sin2 x + sin2 + cosx cos , g = 1, b = (gof) (x), then
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If θ be the angle subtended at the focus by the normal chord at the point (λ,λ ),λ ≠ 0 on the parabola y2 = 4ax, then equation of the line through (1, 2) and making and angle θ with x-axis is
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The equation of common tangent to the parabolas y2 = 4ax and x2 = 4by is
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A line L passing through the focus of the parabola y2 = 4(x –1) intersects the parabola in two distinct points. If 'm' be the slope of the line L then
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The triangle formed by tangent to the parabola y = x2 at the point whose abscissa is x0 (where x0 [1, 2]), the y-axis and the straight line y = x02 has the greatest area if x0 is equal to-
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maths-General
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AB is a chord of the parabola y2 = 4ax with vertex at A. BC is drawn perpendicular to AB meeting the axis at C. The projection of BC on the x-axis is-
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If f (x) = and be the values of x, where f (f(x)) is not defined, then a ray of light parallel to the axis of the parabola y2 = 4x after reflection from the internal surface of the parabola will necessarily pass through the point.
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If the normal at three points (ap2, 2ap), (aq2, 2aq) and (ar2, 2ar) are concurrent then the common root of equations px2 + qx + r = 0 and a(b – c) x2 + b (c – a) x + c(a – b) = 0 is
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maths-General