1. No category

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I
19 – 03 – 2015
Part – III
MATHEMATICS, Paper – II (B)
(English version)
Time: 3 hours
Max. Marks: 75
Section – A
Very short answer types questions.
i)
Answer all questions
ii)
Each questions carries two marks
1. Find the value of of ‘a’ if 2x2 +ay2 – 3x + 2y – 1 = 0 represents a circle and also find
its radius.
2. If the length of the tangent from (5, 4) to the circle x2+y2+2ky=0 is 1 then find k plus academy
guess problem –direct, Q.NO: 15
3. Find the equation of the common chord of the following pair of circles (x-a)2 + (y –
b)2 =c2, (x-b)2 + (y – a)2 = c2.
plus academy guess problem –direct, Q.NO:41
5/2.
plus academy guess problem –direct, Q.NO:46
4. Find the coordinates of the points on the parabola y2 = 2x whose focal distance is
5. Define Rectangular Hyperbola and find its eccentricity. plus academy guess problem
–direct, Q.NO:73
6.
(
∫
7. Evaluate ∫
)
plus academy guess problem –direct, Q.NO:96
simple problem
-1
Sol: put Tan x = t
=
dx
= (1+x2) dt
=∫
=∫
=∫
= - cost + c
= - cos (Tan-1 x) + c
8. Evaluate ∫
plus academy guess problem –direct, Q.NO:130
|
9. Evaluate ∫ |
plus academy guess problem –direct, Q.NO: 116
10. Form the differential equation corresponding to y = A cos 3x + B Sin 3x, where A and
B are Parameter.
Junior Intermediate
|
plus academy guess problem –direct, Q.NO:157
2B IPE 2015 Question paper
|
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Section – B
Short answer types questions.
(i) Attempt any five questions
(ii) Each questions carries four marks
11. Find the equation of the circle whose centre lies on the X-axis and passing through (-2,
3) and (4, 5).
plus academy guess problem –direct Q.No: 272, page 16
12. If x + y = 3 is the equation of the chord AB of the circle x2 + y2 – 2x + 4y – 8 = 0 find the
equation of the circle having AB as diameter. Method
13. Find the equations of the tangent and normal to the ellipse 9x2 + 16y2 = 144 at the end
of latus rectum in the first quadrant. plus academy guess problem –direct, Q.NO:204
14. Find the value of k if 4x + y + k = 0 is a tangent to the ellipse x2 + 3y2 = 3 plus academy
guess problem –direct, Q.NO:211
15. Find the equations of the tangents to the hyperbola: 3x2 – 4y2 = 12 which are
i. Parallel and
academy guess problem –direct
ii. Perpendicular to the line y = x – 7
Q.NO: 65 & 66, 5th page
16. Evaluate ∫
plus academy guess problem –direct, Q.NO:286
17. Solve
.
plus academy guess problem –direct, Q.NO:243
Section – C
Long answer types questions.
a. Attempt any five questions
b. Each questions carries seven marks
18. Find the values of “c” if the points (2, 0), (0, 1), (4, 5), (0, c) are concyclic
plus academy guess problem –direct, Q.NO:275
19. Find the transverse common tangent of the circle x2+y2-4x-10y+28=0 and
plus academy guess problem –direct, Q.NO:268
20. Evaluate ∫
plus academy guess problem –direct, Q.NO:286,288 M
21. Evaluate the reduction formula for In = ∫
∫
Junior Intermediate
.
and hence find
plus academy guess problem –direct, Q.NO:294
|
2B IPE 2015 Question paper
|
[email protected]
www.plusacademy.in
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22. Derive the standard form of the parabola.
23. Evaluate ∫
plus academy guess problem –direct, Q.NO:303
24. Solve
plus academy guess problem -direct Q.NO:254
Direct problems - total scoring
: 16 + 24 + 35=75
Method problems - total scoring : 2+ 4+7 = 13
Plus academy guess paper
Total Scoring: 75+ 13 =
88/97
Marks
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[email protected]
Junior Intermediate
|
2B IPE 2015 Question paper
|
[email protected]