Continuity and Differentiability

Subject matter experts of JagranJosh have developed chapter wise practice questions of Class 12th as per the relevancy of the chapter in the CBSE board exam. This practice set contains 10 questions with detailed explanations on “Chapter: Continuity and Differentiability” of Mathematics.

  • Q1. If  x m y n = ( x+y ) m+n ,  then what is  dy dx ?

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  • Q2. If x=a( cost+tsint ),y=a( sinttcost ), then calculate  d 2 y d t 2

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  • Q3. If x 1+y +y 1+x =0, then calculate  dy dx

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  • Q4. If x= a sin -1 t ,  y= a cos -1 t , then calculate  dy dx

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  • Q5. If f( 2 )=4 and f( 2 )=1, then the value of  lim x2 xf(2)2f(x) x2  is

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  • Q6. If x=a cos 3 θ and y=a sin 3 θ, thenthe value of  d 2 y d x 2  at θ= π 6 is

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  • Q7.If f and g are two continuous functions on their common domain D, then
    Choose the incorrect or incomplete options from the statements given below.

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