21 Calculus questions from Mathematics Mock Test - 10 with detailed answers and explanations. Free previous year questions and MCQs.
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Years:2026 (21)
Calculus โ Mathematics Mock Test - 10(1โ21 of 21)
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Q1mediummcqMathematicsMathematics Mock Test - 102026
27% accuracy
The critical points of the function f(x)=[x+1]โ[x]+x2โ11โ are:
Q2mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
If โซxโx3dxโ=Alnโ1โx2x2โโ+c, then the value of A is:
Q3easymcqMathematicsMathematics Mock Test - 102026
27% accuracy
The cost of a cricket ball is Rs 500. If the price remains constant, its marginal revenue in Rs will be:
Q4mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
If y=โฃcosxโsinxโฃ, then dxdyโ at x=ฯ/4 is:
Q5mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
The integral โซ0ฯ/2โโฃsinxโcosxโฃdx is equal to:
Q6mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
The value of a so that f(x)=sinxโcosxโax+b decreases for all real values of x is given by:
Q7mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
If f(x)=logxโ(logx), then fโฒ(x) at x=e is:
Q8mediummcqMathematicsMathematics Mock Test - 102026
27% accuracy
The maximum value of the function f(x)=(xโ1)(xโ2)(xโ3) is:
Q9mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
The solution of the differential equation dxdyโ=xyโ+fโฒ(y/x)f(y/x)โ is:
Q10mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
The normal to the curve 5x5โ10x3+x+2y+6=0 at A(0,โ3) meets the curve again at two points B and C. The length of the line segment BC is:
Q11mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
A function f:RโR satisfies the equation f(x+y)=f(x)f(y) for all x,yโR; f(x)๎ =0. Suppose that the function f(x) is differentiable at x=0 and fโฒ(0)=2. If fโฒ(x)=ฮปf(x), then the value of ฮป is:
Q12mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
For the function f(x)=[x+1]โ[x]+x2โ11โ, f(x) has:
Q13mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
Let f(x)=xโ[x] for every real number x, where [x] is the greatest integer less than or equal to x. Then the value of โซโ11โf(x)dx is:
Q14mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
I=โซsinxโcosxsinxโdx is equal to:
Q15mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
For the function f(x)=x2โ1x2โ, the area formed by the tangent to the curve at P(2,34โ) with the coordinate axes is:
Q16mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
The curves f(x)=sinx and g(x)=cosx intersect infinitely many times, forming bounded regions of equal areas. The area of one such region is:
Q17mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
The solution of dxdyโ+2ytanx=sinx is:
Q18mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
Complete solution set of โฃxโ1x2โโฃโค1 is given by:
Q19mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
Consider the function f(x)=[x+1]โ[x]+x2โ11โ, where [โ ] represents the greatest integer function. The function f(x) is decreasing in the interval:
Q20mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
If y=(1+x)(1+x2)(1+x4)โฏ(1+x2n), then the value of dxdyโ at x=0 is:
Q21mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
The local maximum value of f(x)=[x+1]โ[x]+x2โ11โ is:
Mathematics Mock Test - 10 Calculus โ FAQ
How many Calculus questions come in Mathematics Mock Test - 10?โผ
Our database has 21 Calculus questions from Mathematics Mock Test - 10 covering 2026 to 2026.
What difficulty are Mathematics Mock Test - 10 Calculus questions?โผ
The 21 Mathematics Mock Test - 10 Calculus questions include 1 easy, 20 medium and 0 hard level questions.
Where can I find more Calculus questions for other exams?โผ
Visit /tag/calculus to see all Calculus questions across all exams including AIEEE, Mathematics Mock Test - 3, Mathematics Mock Test - 5.