REVISION TEST 1 DUM 3272 MATHEMATICS 3

1. Find the centre and radius of each circle below :

i.

ii.

iii.

iv.

v.

2. Find the vertex and focus of parabola below . Hence sketch every parabola.

i.

ii.

iii.

iv.

3. Find centre , vertexs and foci for following ellipse below :

i.

ii.

iii.

iv.

1

V ( 5, 8)

V ( 2, 9)

4. Find centre , vertexs and foci for following hyperbola below . Hence sketch every hyperbola.

i.

ii.

iii.

iv.

5. Write standard equation and general equation for the circle with centre (2 , –5) and radius is 3 unit.

6. Write standard form for each of parabola below :

a.

x

Directrix : x = 2

b.

2

x

f ( 2, 5)

x

7.

y

X

Diagram 1

a. Find

i. distance between foci and centre

ii. vertexs

b. Write equation of ellipse in standard form .

8. Write standard form for hyperbola below :

9. Evaluate each of the following functions:-

3

C

F

6

4

F

16

C (8, 5)

10 unit

f (17 , 5)

g.

l.

10. Find the derivative of the function given below using the first principle method:-

a. f(x) = 3x2 – 4 b. f(x) = 3x2 c. f(x) = x2 + 2x

d. f(x) = x2 – 2x

11. Differentiate the following functions:-

b. c.

12. Differentiate the following functions :a. y = sin 2x c. y = sin

d. y = ln (4-x) e. y = ln 4x f. y =

g. f(x) = 2 cos h. y = 3 cos x2

i. f(x) = ln ( sin x) j. y = 5 ln 3x

k. f(x) = l. f(x) = 2 cos (3x + 1)

m. f(x) = ln ( tan x) n. f(x) = - 4e4x

o. f(x) = 5x3 – sin 2x p. f(x) = ln q. y = ecos 2x

t.

v.

4