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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 *y*^{2}*=*16*x* 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