BITSAT SERIES
Mathematics

Calculus

10 previous year questions.

Volume: 10 Ques
Yield: Medium

High-Yield Trend

1
2025
9
2009

Chapter Questions
10 MCQs

01
PYQ 2009
medium
mathematics ID: bitsat-2
If f(t)=1-t1+t, then f'(1) is equal to:
1
1(1+t)ยฒ
2
1(t-1)ยฒ
3
-2t(t+1)ยฒ
4
-2(t+1)ยฒ
02
PYQ 2009
medium
mathematics ID: bitsat-2
If the function f:(-โˆž,โˆž)โ†’ B defined by f(x)=-xยฒ+6x-8 is bijective, then B=
1
[1,โˆž)
2
(-โˆž,1]
3
(-โˆž,โˆž)
4
None of these
03
PYQ 2009
medium
mathematics ID: bitsat-2
If y=eโปหฃ x and y+k y'=0, where yโ‚„=dโดydxโด, then k=
1
4
2
-4
3
2
4
-2
04
PYQ 2009
medium
mathematics ID: bitsat-2
The set of points of discontinuity of the function f(x)=(1)/(|x||x|) is
1
-1,0,1
2
0
3
0,1
4
None of these
05
PYQ 2009
medium
mathematics ID: bitsat-2
Evaluate: xโปยนxdx
1
\frac12(xยฒ+1)โปยนx-\frac12x+C
2
\frac12(xยฒ+1)โปยนx+\frac12x+C
3
\frac12(xยฒ-1)โปยนx-\frac12x+C
4
None of these
06
PYQ 2009
medium
mathematics ID: bitsat-2
Evaluate โ‚€ยน dxโˆš(2-xยฒ)
1
ฯ€/4
2
ฯ€
3
ฯ€/2
4
ฯ€/3
07
PYQ 2009
medium
mathematics ID: bitsat-2
If โ‚€โฟ [x]dx = 66, then n=
1
24
2
9
3
12
4
7
08
PYQ 2009
medium
mathematics ID: bitsat-2
If a>0, b>0, c>0 are respectively the pth, qth, rth terms of G.P., then the value of the determinant vmatrix a & p & 1
b & q & 1
c & r & 1 vmatrix is
1
0
2
1
3
-1
4
None of these
09
PYQ 2009
medium
mathematics ID: bitsat-2
Find the value of 2โปยน(1)/(5)+โปยน(1)/(2)+2โปยน(1)/(8)
1
ฯ€/4
2
ฯ€/2
3
3ฯ€/4
4
None of these
10
PYQ 2025
medium
mathematics ID: bitsat-2
What is the value of ?
1
0
2
1/2
3
1
4
1/4

About Calculus - BITSAT

Calculus is a vital chapter for BITSAT aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

Frequently Asked Questions

Why focus on Calculus PYQs?

Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

How to best use this analysis?

Review the topic breakdown to see which sub-topics within Calculus carry the most weight. Then, tackle the questions iteratively to solidify your understanding.