Q7 of 43 Page 5

If (cos x)y = (cos y)x find .(CBSE 2011,2012)

Here,


Taking log on both sides,




Differentiating it with respect to x using the chain rule and product rule,







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Find the relationship between ‘a’ and ‘b’ so that the function ‘f’ defined by is continuous at x = 3.(CBSE 2011)

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If y = x sin (a + y), prove that(CBSE 2011,2012)

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In the following, determine the value(s) of constant(s) involved in the definition so that the given function is continuous:

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Find the values of a and b so that the function f given by is continuous at x = 3 and x = 5.(CBSE 2013)