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ECAT → Engineering Colleges Admission Test (ECAT) Sample Paper Questions from 6 to 10

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6. The solution of the differential equation ydx+xdy=0 is ?
(A) xy=c
(B) x=y+c
(C) x+y=c
(D) xy=1

7. What is the value of ‘a’ if
is continuous at x=2.
(A) –2
(B) 2
(C) –3
(D) 3

8. The tangent line to the graph of f (x) = |x| at x=0,
(A) 0
(B) 1
(C) undefined
(D) does not exists

9. The equation of directrix of the parabola y²=16x is ?
(A) y+2=0
(B) y-2=0
(C) y+4=0
(D) y–4=0

10. If the distance between vertex and focus is 3, then the length of latusrectum is ?
(A) 6
(B) 8
(C) 10
(D) 12

ANSWERS: ECAT SAMPLE PAPER
6. A
7. B
8. D
9. C
10. D