Maths
General
Easy
Question
The equation of circle which touches the line 5x + 12 y =1 and which has its centre at (3, 4) is:



 none of these
Hint:
Find the radius of the circle and substitute required values in the standard equation of the circle.
The correct answer is:
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Identify the wrong description of the above figures
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A given ray of light suffers minimum deviation in an equilateral prism P. Additional prisms Q and R of identical shape and material are now added to P as shown in the figure. The ray will suffer
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A bob of mass is suspended by a massless string of length . The horizontal velocity at position is just sufficient to make it reach the point . The angle at which the speed of the bob is half of that at , satisfies
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The foot of the perpendicular on the line drown from the origin is C if the line cuts the xaxis and yaxis at A and B respectively then BC : CA is
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(where a, b are integers) =
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${\int}_{\pi /4}^{\pi /4}\u200a\frac{{e}^{x}(x\mathrm{sin}x)}{{e}^{2x}1}dx$ is equal to
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Let $f:R\to R,f\left(x\right)=\left\{\begin{array}{c}x[x\left]\right,\left[x\right]\\ x[x+1\left]\right,\left[x\right]\end{array}\right.$$\begin{array}{r}\text{is odd}\\ 1\text{is even where [.]}\end{array}$ denotes greatest integer function, then ${\int}_{2}^{4}\u200af\left(x\right)dx$ is equal to
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The value of ${\int}_{0}^{1}\u200a\mathrm{sin}2\pi x\mid dx$ is equal to
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The value of (where {x} is the fractional part of x) is
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