Explore topic-wise MCQs in Engineering Mathematics.

This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Find \(lt_{(x,y)\rightarrow(0,0)}\frac{sinh(x)\times sinh(y)}{xy}\)

A. 1
B.
C. 0
D. 990
Answer» B. ∞
2.

Find \(=lt_{(x,y)\rightarrow (0,0)}\frac{tan(y)}{x}\)

A.
B. 1
C. 1⁄2
D. Does Not Exist
Answer» E.
3.

Find \(lt_{(x,y)\rightarrow (0,0)}\frac{y^7x^{98}-x^{97}y^8+x^{105}}{xy^7+x^8}\)

A. Does Not Exist
B. 0
C. 1
D.
Answer» C. 1
4.

Find \(lt_{(x,y)\rightarrow(0,0)}\frac{x^3+3xy^2-xy^2}{x^2+xy}\)

A. 0
B.
C. 1
D. -1
Answer» B. ∞
5.

Find \(lt_{(x,y)\rightarrow(0,1)}\frac{x+y-1}{\sqrt{x+y}-1}\)

A. 9
B. 0
C. 6
D. 2
Answer» E.
6.

Find \(lt_{(x,y)\rightarrow(0,0)}\frac{x^3-y^3}{(x-y)}\)

A. -1⁄2
B. 0
C.
D. -90
Answer» C. ∞
7.

Find \(lt_{(x,y)\rightarrow(0,0)}\frac{sec(y).sin(x)}{x}\)

A.
B. 1⁄2
C. 1
D. 1⁄3
Answer» D. 1⁄3
8.

Find \(lt_{(x,y)\rightarrow(0,0)}\frac{y^6}{x^{10}y^2+x^{15}}\)

A. 0
B. 1
C. Does Not exist
D.
Answer» D. ∞
9.

Find \(lt_{(x,y)\rightarrow(0,0)}\frac{121.x^{-5}.y^{\frac{13}{3}}}{y+(x)\frac{3}{2}}\)

A.
B. 0
C. Does Not Exist
D. 121
Answer» D. 121