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Maths-

General

Easy

Question

If $Tan invisible function application 40 to the power of ring operator plus 2 Tan invisible function application 10 to the power of ring operator equals Cot invisible function application x$ then x=

75°
85°
30°
40°

The correct answer is: 40°

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If A, B, C are acute angles, $T a n invisible function application A equals 1 divided by 2$ , $T a n invisible function application B equals 1 divided by 5$ , $Tan invisible function application C equals 1 divided by 8$ then A+B+C=

If A, B, C are acute angles, $T a n invisible function application A equals 1 divided by 2$ , $T a n invisible function application B equals 1 divided by 5$ , $Tan invisible function application C equals 1 divided by 8$ then A+B+C=

If $0 less than alpha comma beta less than fraction numerator pi over denominator 4 end fraction comma C o s invisible function application left parenthesis alpha plus beta right parenthesis equals fraction numerator 4 over denominator 5 end fraction comma S i n invisible function application left parenthesis alpha minus beta right parenthesis equals fraction numerator 5 over denominator 13 end fraction$ then $Tan invisible function application 2 alpha$ =

If $0 less than alpha comma beta less than fraction numerator pi over denominator 4 end fraction comma C o s invisible function application left parenthesis alpha plus beta right parenthesis equals fraction numerator 4 over denominator 5 end fraction comma S i n invisible function application left parenthesis alpha minus beta right parenthesis equals fraction numerator 5 over denominator 13 end fraction$ then $Tan invisible function application 2 alpha$ =

If $C o s invisible function application alpha equals fraction numerator negative 12 over denominator 13 end fraction comma C o t invisible function application beta equals fraction numerator 24 over denominator 7 end fraction comma 90 to the power of ring operator end exponent less than alpha less than 180 to the power of ring operator end exponent$ and $180 to the power of ring operator end exponent less than beta less than 270 to the power of ring operator end exponent$ then the quardrant in which $alpha plus beta$ lies

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parallel

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If $Tan invisible function application 22 to the power of ring operator plus Tan invisible function application 38 to the power of ring operator minus square root of 3 equals k Tan invisible function application 22 to the power of ring operator Tan invisible function application 38 to the power of ring operator$ then k=

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$Lt subscript x not stretchy rightwards arrow 0 end subscript space open parentheses 1 plus fraction numerator 2 x over denominator 3 end fraction close parentheses to the power of 1 over x end exponent$

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If $f left parenthesis x right parenthesis equals open curly brackets table row cell x to the power of alpha end exponent l o g invisible function application x comma end cell cell x greater than 0 end cell row cell 0 comma end cell cell x equals 0 end cell end table close$ and Rolle's theorem is applicable to f(x) for $x element of left square bracket 0 , 1 right square bracket$ then $alpha$ is equal to

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The graph between sine of angle of refraction (sin r) in medium 2 and sine of angle of incidence (sin i) in medium 1 indicates that $open parentheses t a n invisible function application 36 to the power of ring operator end exponent almost equal to fraction numerator 3 over denominator 4 end fraction close parentheses$

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For a small angled prism, angle of prism A, the angle of minimum deviation $left parenthesis delta right parenthesis$ varies with the refractive index of the prism as shown in the graph

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physics-General

For a convex lens, if real image is formed the graph between (u + v) and u or v is as follows

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