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Maths-

General

Easy

Question

6 letters are to be posted in three letter boxes. The number of ways of posting the letters when no letter box remains empty is

270
540
zero
Infinite

The correct answer is: zero

Since the number of divisors of 'n' is odd

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Sum of all divisors of 5400 whose unit digit is 0, is

Sum of all divisors of 5400 whose unit digit is 0, is

If $cos invisible function application theta equals 1 half open parentheses a plus 1 over a close parentheses$ then $cos invisible function application 3 theta$ in terms of ‘a’ =

If $cos invisible function application theta equals 1 half open parentheses a plus 1 over a close parentheses$ then $cos invisible function application 3 theta$ in terms of ‘a’ =

Exact value of $cos invisible function application 20 to the power of ring operator plus 2 sin squared invisible function application 55 to the power of ring operator minus sin invisible function application 65 to the power of ring operator$ is -

Exact value of $cos invisible function application 20 to the power of ring operator plus 2 sin squared invisible function application 55 to the power of ring operator minus sin invisible function application 65 to the power of ring operator$ is -

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If $fraction numerator sin invisible function application 2 alpha minus sin invisible function application 3 alpha plus sin invisible function application 4 alpha over denominator cos invisible function application 2 alpha minus cos invisible function application 3 alpha plus cos invisible function application 4 alpha end fraction equals tan invisible function application k alpha$ is an identity then the value of k is equal to -

If $fraction numerator sin invisible function application 2 alpha minus sin invisible function application 3 alpha plus sin invisible function application 4 alpha over denominator cos invisible function application 2 alpha minus cos invisible function application 3 alpha plus cos invisible function application 4 alpha end fraction equals tan invisible function application k alpha$ is an identity then the value of k is equal to -

If $tan invisible function application theta equals square root of a over b end root$ where a, b are positive reals then the value of $space sin invisible function application theta sec 7 theta plus cos invisible function application theta cosec to the power of blank 7 theta$ is -

If $tan invisible function application theta equals square root of a over b end root$ where a, b are positive reals then the value of $space sin invisible function application theta sec 7 theta plus cos invisible function application theta cosec to the power of blank 7 theta$ is -

The expression $fraction numerator sin invisible function application 22 to the power of ring operator cos invisible function application 8 to the power of ring operator plus cos invisible function application 158 to the power of ring operator cos invisible function application 98 to the power of ring operator over denominator sin invisible function application 23 to the power of ring operator cos invisible function application 7 to the power of ring operator plus cos invisible function application 157 to the power of ring operator cos invisible function application 97 to the power of ring operator end fraction$ when simplified reduces to -

The expression $fraction numerator sin invisible function application 22 to the power of ring operator cos invisible function application 8 to the power of ring operator plus cos invisible function application 158 to the power of ring operator cos invisible function application 98 to the power of ring operator over denominator sin invisible function application 23 to the power of ring operator cos invisible function application 7 to the power of ring operator plus cos invisible function application 157 to the power of ring operator cos invisible function application 97 to the power of ring operator end fraction$ when simplified reduces to -

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If A = $sin invisible function application fraction numerator 2 pi over denominator 7 end fraction plus sin invisible function application fraction numerator 4 pi over denominator 7 end fraction plus sin invisible function application fraction numerator 8 pi over denominator 7 end fraction$ and B = $cos invisible function application fraction numerator 2 pi over denominator 7 end fraction plus cos invisible function application fraction numerator 4 pi over denominator 7 end fraction plus cos invisible function application fraction numerator 8 pi over denominator 7 end fraction$ then $square root of A squared plus B squared end root$ is equal to

If A = $sin invisible function application fraction numerator 2 pi over denominator 7 end fraction plus sin invisible function application fraction numerator 4 pi over denominator 7 end fraction plus sin invisible function application fraction numerator 8 pi over denominator 7 end fraction$ and B = $cos invisible function application fraction numerator 2 pi over denominator 7 end fraction plus cos invisible function application fraction numerator 4 pi over denominator 7 end fraction plus cos invisible function application fraction numerator 8 pi over denominator 7 end fraction$ then $square root of A squared plus B squared end root$ is equal to

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If $tan invisible function application B equals fraction numerator n sin invisible function application A cos invisible function application A over denominator 1 minus n cos squared invisible function application A end fraction$ then tan (A + B) equals

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If x + y = 3 – cos4 $theta$ and x – y = 4 sin2 $theta$ then

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Which of the following is correct ?

Which of the following is correct ?

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According to Maxwell’s hypothesis, a changing electric field gives rise to

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