AP Andhra Pradesh Maths Model Question Paper : www.bieap.gov.in Intermediate II year
Document Described : Maths Question Paper, Andhra Pradesh Question Paper
MODEL QUESTION PAPER
MATHEMATICS Paper II A
(Algebra, Probability) Time : 3 Hours Max Marks : 75
Section : A
I. Very Short Answer Questions
Attempt all Questions. Each Question carries 2 marks. 10 x 2 = 20 Marks
1. If a and b are the roots of the equation 2x2 + 3y2 + 6 = 0 find the quadratic equation whose roots are a3 and b3.
2. If the roots of the equation x3 3x2 6x + 8 = 0 are in A.P. find them.
4. Find the value of the determinant of w w2 1 where w3 = 1.
5. If nP4 = 1680 find n.
6. If 21C2r+1 = 21Cr-4 find r.
7. Find the term independent of x in x5 x3
8. If a card is drawn at random from a pack of cards, what is the probability that it is an ace or a diamond.
10. In a Binominal distribution if the sum of the mean and the variance is
1.8 find the distribution when n = 5.
Section : B
II. Short Answer Questions
Attempt any five questions. Each question carries 4 marks
5 x 4 = 20 Marks
14. Find the partial fractions of
(2x 1 ) (x +2) (x 3)
17. If two numbers are selected randomly from 20 consecutive natural
numbers find the probability that the sum of the two numbers is
(i) an even number (ii) an odd number.
Section C :
II. Long Answer Questions 5 x 7 = 35 Marks
Attempt any five questions. Each question carries 7 marks
18. Solve x3 18x 35 = 0 by using Cardans method.
19. Find the number of ways of selecting 11 members for a cricket team from 7 batsmen, 5 bowlers and 3 wicket keepers having atleast 3 bowlers and 2 wicket keepers.
1.3 1.3.5 1.3.5.7
20. Find the sum of the series + + + .
3.6 3.6.9 3.6.9.12
21. Solve by Gauss-Jordan method, the system of equations :
x + y + z = 6
2x + 3y z = 3
3x + 5y + 2z = 19
23. State and prove Bayes Theorem.
MODEL QUESTION PAPER
MATHEMATICS Paper II B
(Coordinate Geometry and Calculus) Time : 3 Hours Max Marks : 75 Section A :
I. Very Short Answer Questions 10x2=20 Marks
Attempt all Questions. Each Question carries 2 marks.
1. If x2 + y2 4x + 6y + c = 0 represents a circle with radius 6, find the
value of c.
4. Find the eccentricity of the hyperbola x2 4y2 = 4
10. State the Simpsons rule for Numerical Integration of a function f(x)
over the interval [a,b] by dividing [a,b] into n sub-intervals.
Section B :
II. Short Answer Questions 5 x 4 = 20 Marks
Attempt any five questions. Each question carries 4 marks
12. Find the equations of the tangents shown drawn from (-2,1) to the
hyperbola 2x2 3y2 = 6.
Section C :
II. Long Answer Questions 5 x 7 = 35 Marks
Attempt any five questions. Each question carries 7 marks
18. Find the equation of the pair of tangents drawn from (3,2) to the circle
x2 + y2 6x + 4y 2 = 0
19. Find the equation of the circle passing through the points of
intersection of the circles x2 + y2 8x 6y + 21 = 0, x2 + y2 2x 15
= 0 and the point (1,2).
20. Find the equation of the circle passing through the origin and coaxial
with the circles x2 + y2 6x + 4y 8 = 0 and x2 + y2 2x + y + 4 = 0.
21. Find the pole of the line x + y + 2 = 0 with respect to the parabola
y2 + 4x 2y 3 = 0.
3 sin x + cos x + 7
24. Find the area enclosed by the curves y = 3x and y = 6x x2.
Last edited by mariammal; February 22nd, 2012 at 10:47 AM.
February 23rd, 2012, 01:26 PM
Post Count Number #2
If a and b are the roots of the equation 2x2 + 3y2 + 6 = 0 find the
quadratic equation whose roots are a3 and b3.
March 10th, 2013, 11:54 AM
Post Count Number #7
Unregistered
Guest
Please tell the solution for the sum. If a and b are the roots of the equation 2x2 + 3y2 + 6 = 0 find the quadratic equation whose roots are a3 and b3.