MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers

MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers Set-C 

MCQ Questions for Class12 Maths Chapter 5 Continuity and Differentiability

Continuity and Differentiability Class 12 Maths MCQs Questions with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Continuity and Differentiability Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Class 12 Maths Chapter 5 Quiz

Class 12 Maths Chapter 5 MCQ Online Test


You can refer to NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Continuity and Differentiability Class 12 Maths MCQ online test

Q1. If y = e3x+n, then the value of \(\frac{dy}{dx}\)|x=0 is
A. 1
B. 0
C. -1
D. 3e7
Ans: 3e7
Q2. Let f (x) = ex, g (x) = sin-1 x and h (x) = f |g(x)|, then \(\frac{h'(x)}{h(x)}\) is equal to
A. esin-1x
B. \(\frac{1}{\sqrt{1-x^2}}\)
C. sin-1x
D. \(\frac{1}{(1-x^2)}\)
Ans: \(\frac{1}{\sqrt{1-x^2}}\)
Q3. If y = aex+ be-x + c Where a, b, c are parameters, they y’ is equal to
A. aex – be-x
B. aex + be-x
C. -(aex + be-x)
D. aex – bex
Ans: aex – be-x
Q4. If sin y + e-xcos y = e, then \(\frac{dy}{dx}\) at (1, π) is equal to
A. sin y
B. -x cos y
C. e
D. sin y – x cos y
Ans: e
Q5. Derivative of the function f (x) = log5 (Iog,x), x > 7 is
A. \(\frac{1}{x(log5)(log7)(log7-x)}\)
B. \(\frac{1}{x(log5)(log7)}\)
C. \(\frac{1}{x(logx)}\)
D. None of these
Ans: \(\frac{1}{x(log5)(log7)(log7-x)}\)
Q6. If y = log10x + log y, then \(\frac{dy}{dx}\) is equal to
A. \(\frac{y}{y-1}\)
B. \(\frac{y}{x}\)
C. \(\frac{log_{10}e}{x}\)(\(\frac{y}{y-1}\))
D. None of these
Ans: \(\frac{log_{10}e}{x}\)(\(\frac{y}{y-1}\))
Q7. If y = log [ex(\(\frac{x-1}{x-2}\))\(^{1/2}\)], then \(\frac{dy}{dx}\) is equal to
A. 7
B. \(\frac{3}{x-2}\)
C. \(\frac{3}{(x-1)}\)
D. None of these
Ans: None of these
Q8. If y = e\(\frac{1}{2}\) log(1+tan²x), then \(\frac{dy}{dx}\) is equal to
A. \(\frac{1}{2}\) sec² x
B. sec² x
C. sec x tan x
D. e\(\frac{1}{2}\) log(1+tan²x)
Ans: sec x tan x
Q9. If y = 2x32x-1 then \(\frac{dy}{dx}\) is equal to dx
A. (log 2) (log 3)
B. (log lg)
C. (log 18²) y²
D. y (log 18)
Ans: y (log 18)
Q10. If xx = yy, then \(\frac{dy}{dx}\) is equal to
A. –\(\frac{y}{x}\)
B. –\(\frac{x}{y}\)
C. 1 + log (\(\frac{x}{y}\) )
D. \(\frac{1+logx}{1+logy}\)
Ans: \(\frac{1+logx}{1+logy}\)
Q11. If y = (tan x)sin x, then \(\frac{dy}{dx}\) is equal to
A. sec x + cos x
B. sec x+ log tan x
C. (tan x)sin x
D. None of these
Ans: None of these
Q12. If xy = ex-y then \(\frac{dy}{dx}\) is
A. \(\frac{1+x}{1+log x}\)
B. \(\frac{1-log x}{1+log y}\)
C. not defined
D. \(\frac{-y}{(1+log x)^2}\)
Ans: \(\frac{-y}{(1+log x)^2}\)
Q13. The derivative of y = (1 – x) (2 – x)…. (n – x) at x = 1 is equal to
A. 0
B. (-1) (n – 1)!
C. n ! – 1
D. (-1)n-1 (n – 1)!
Ans: (-1) (n – 1)!
Q14. If f(x) = cos x, cos 2 x, cos 4 x, cos 8 x, cos 16 x, then the value of'(\(\frac{π}{4}\)) is
A. 1
B. √2
C. \(\frac{1}{√2}\)
D. 0
Ans: (-1) (n – 1)!
Q15. xy. yx = 16, then the value of \(\frac{dy}{dx}\) at (2, 2) is
A. -1
B. 0
C. -1
D. None of these
Ans: -1
Q16. If y = ex+ex+ex+….to∞ find \(\frac{dy}{dx}\) =
A. \(\frac{y^2}{1-y}\)
B. \(\frac{y^2}{y-1}\)
C. \(\frac{y}{y-1}\)
D. \(\frac{-y}{y-1}\)
Ans: \(\frac{y}{y-1}\)
Q17. If x = \(\frac{1-t^2}{1+t^2}\) and y = \(\frac{2t}{1+t^2}\) then \(\frac{dy}{dx}\) is equal to dx
A. –\(\frac{y}{x}\)
B. \(\frac{y}{x}\)
C. –\(\frac{x}{y}\)
D. \(\frac{x}{y}\)
Ans: –\(\frac{x}{y}\)
Q18. If x = a cos4 θ, y = a sin4 θ. then \(\frac{dy}{dx}\) at θ = \(\frac{3π}{4}\) is
A. -1
B. 1
C. -a²
D.
Ans: -1
Q19. If x = sin-1 (3t – 4t³) and y = cos-1 (\(\sqrt{1-t^2}\)) then \(\frac{dy}{dx}\) is equal to
A. \(\frac{1}{2}\)
B. \(\frac{2}{5}\)
C. \(\frac{3}{2}\)
D. \(\frac{1}{3}\)
Ans: \(\frac{1}{3}\)
Q20. Let y = t10 + 1 and x = t8 + 1, then \(\frac{d^2y}{dx^2}\), is equal to
A. \(\frac{d^2y}{dx^2}\)
B. 20t8
C. \(\frac{5}{16t^6}\)
D. None of these
Ans: \(\frac{1}{3}\)

MCQ Questions for Class 12 Maths


NCERT Solution of Maths Class 12


Class 12 Maths

NCERT Solution of Maths Class 12 Chapter 1

    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-A
    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-B
    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-C

NCERT Solution of Maths Class 12 Chapter 2

    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-A
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-B
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-C
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-D

NCERT Solution of Maths Class 12 Chapter 3

    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-A
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-B
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-C
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-D

NCERT Solution of Maths Class 12 Chapter 4

    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-A
    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-B
    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-C

NCERT Solution of Maths Class 12 Chapter 5

    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-A
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-B
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-C
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-D

NCERT Solution of Maths Class 12 Chapter 6

    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-A
    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-B
    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-C

NCERT Solution of Maths Class 12 Chapter 7

    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-A
    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-B
    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-C

NCERT Solution of Maths Class 12 Chapter 8

    MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-A
    MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-B

NCERT Solution of Maths Class 12 Chapter 9

    MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-A
    MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-B

NCERT Solution of Maths Class 12 Chapter 10

    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-A
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-B
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-C
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-D

NCERT Solution of Maths Class 12 Chapter 11

    MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-A
    MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-B

NCERT Solution of Maths Class 12 Chapter 12

    MCQ Questions for Class 12 Maths Chapter 12 Linear Programming Set-A

NCERT Solution of Maths Class 12 Chapter 13

    MCQ Questions for Class 12 Maths Chapter 13 Probability Set-A
    MCQ Questions for Class 12 Maths Chapter 13 Probability Set-B

NCERT SOLUTIONS FOR CLASS 12

Post a Comment

इस पेज / वेबसाइट की त्रुटियों / गलतियों को यहाँ दर्ज कीजिये
(Errors/mistakes on this page/website enter here)

Previous Post Next Post