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July 4th, 2014, 11:25 AM
Super Moderator
 
Join Date: Mar 2013
Re: Previous papers of B.Tech Lateral Entry exam

Here I am giving you question paper for B tech Lateral Entry examination in PDF file attached with it so you can get it easily.

1. If A and B are two square matrices of the same order, then (A+B)2 is
A) A2 – AB + BA + B2 B) A2 + AB + BA + B2
C) A2 – AB – BA + B2 D) A2 + AB – BA + B2

2. If 2 –1 4 is a singular matrix then x is
x 0 1
1 2 0
A) 5/4 B) –5/8 C) 8/5 D) 5/8

3. Adjoint of the matrix 1 2 1 is
3 2 2
1 1 2
A) 2 –4 1 B) 2 –3 2
–3 1 1 –4 1 1
2 1 –4 1 1 –4
C) 2 1 D) 2 2 1
1 0 1 2 2
1 3 1

4. Inverse of the matrix 2 3 is
2 5
A) –2 3 B) 5 2
2 –5 3 2
C) 5 –3 D) 2 –3
–2 2 –2 5

5. Rank of the matrix 1 0 1 is
0 2 2
2 3 4
A) 2 B) 0 C) 3 D) 1

6. The equation AX = B is consistent if rank of the coefficient matrix and augmented matrix are
A) equal B) not equal
C) 1 D) none of these

7. The characteristic equation of the matrix 5 4 is
1 2
A) 2 +7 + 6 = 0 B) 2 + 6 + 6 = 0
C) 2 – 7 + 6 = 0 D) 2 + 6 + 7 = 0

8. The second derivative of bsin3 with respect to a cos3 is
A) bcosec B) bcosec sec4
3a2sec4 3a2
C) bsec4 D) bsec4
3a2 3a2cosec

9. The nth derivative of x sin x with respect to x is
A) x cos x
B) x sin x (x + (n )/2) + sin (x+(n–1) /2)
C) x sin (x+n /2) + n sin (x+(n–1) /2)
D) x cos n /2
10. lim x2 – 3x is
x 3 x2–9
A) 3 B) 6 C) 1/3 D) ½

11. Radius curvature of the parabola y2 = 4ax at (at2, 2at) is
A) 2a(1+t2)3/2 B) a(1+t)3/2
C) 2(1+t2)3/2 D) 2a(1+t2)3/2
t t2

12. The maximum value of the function 2+2x+2y–x2–y2 is
A) 2 B) 1 C) 3 D) 4
13. The partial derivative of ax2+2hxy+by2 with respect to x is
A) 2ax + 2by B) 2ax + 2hy
C) ax2+ 2hx D) 2hx + 2by





Attached Files
File Type: pdf B-tech-Lateral-Entry-exam-paper.pdf (777.6 KB, 157 views)


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