Name of the Organization : Board of Intermediate Education Andhra Pradesh
Name Of The Exam : SSC Mathematics
Document type : Model Question Paper
Website : bieap.gov.in
Download Model Question Papers :
Mathematics IA : https://www.pdfquestion.in/uploads/5170-mathsanew.pdf
Mathematics IB : https://www.pdfquestion.in/uploads/5170-mathsbnew.pdf
SSC Mathematics Model Paper :
BOARD OF INTERMEDIATE EDUCATION A.P. : HYDERABAD
MODEL QUESTION PAPER w.e.f. 2012-13
MATHEMATICS – IA
Time : 3 hours
Max. Marks: 75
Related : Board of Intermediate Education Andhra Pradesh SSC Science Model Question Paper : www.pdfquestion.in/5168.html
Note : This Question paper consists of three sections A, B and C
SECTION – A 10 x 2 = 20 Marks
I. Very Short Answer Questions :
(i) Answer All Questions
(ii) Each Question carries Two marks.
1. Find the domain of the real-valued function log(2 )
2. A certain bookshop has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics
3. Their selling prices are Rs. 80, Rs. 60 and Rs. 40 each respectively. Find the total
4. amount the bookshop will receive by selling all the books, using matrix algebra.
5. Show that the points whose position vectors are – 2a – 3b – 5c , a – 2b – 3c , 7a – c are
6. Let a – 2i – 4 j – 5k , b – i – j – k and c – j – 2k . Find unit vector in the opposite direction
7. If a – i – 2 j – 3k and b – 3i – 2 j – 2k then show that a – b and a – b are perpendicular
8. Prove that 00 00 0cot36cos9 sin9
9. Find the period of the function defined by f (x) – tan( x – 4x – 9x – …. – n2 x) .
10. If sinh x – 3 then show that x – loge (3- 10) .
SECTION – B 5 x 4 = 20 Marks
II. Short Answer Questions.
(i) Answer any Five questions.
(ii) Each Question carries Four marks.
12. Let A B C D E F be regular hexagon with centre ‘O’, show that.
13. If a – i – 2 j – 3k , b – 2i – j – k and c – i – 3 j – 2k find a – (b – c ) .
14. If A is not an integral multiple of 2
15. Solve : 2cos2- – 3 sin- – 1 – 0 .
16. Prove that – – sin 4 tan 1 7 cos 2 tan 1 1 1 .
17. In a – ABC prove that .2cot2tan Ab c
SECTION – C 5 x 7 = 35 Marks
III. Long Answer Questions.
(i) Answer any Five questions.
(ii) Each Question carries Seven marks.
18. Let f : A- B , g : B- C be bijections. Then prove that (gof )- 1 – f – 1og- 1 .
19. By using mathematical induction show that – n- N ,
20. If A then find (A- )- 1 .
21. Solve the following equations by Gauss – Jordan method
22. If A = (1, – 2, – 1), B = (4, 0, – 3), C = (1, 2, – 1) and D = (2, – 4, – 5)
23. If A, B, C are angles of a triangle, then prove that
24. In a – ABC, if a = 13, b = 14, c = 15, find R, r, r1, r2 and r3.
Mathematics – IB : English Version
Time: 3 hours
Max. Marks: 75
Note : This Question paper consists of three sections A, B and C
SECTION – A : 10 x 2 = 20 Marks
I. Very Short Answer Questions :
(i) Answer All Questions
(ii) Each Question carries Two marks.
1. Find the value of x, if the slope of the line passing through (2, 5) and (x, 3) is 2.
2. Transform the equation x + y +1 = 0 into the normal form.
3. Show that the points (1, 2, 3), (2, 3, 1) and (3, 1, 2) from an equilateral Triangle.
4. Find the angle between the planes 2x + y + z + 6 and x + y + 2z + 7 .
9. Find the approximate value of 3 65.
10. Find the value of ‘C’ in Rolle’s theorem for the function f (x)+ x2 + 4 on [??3, 3].
SECTION – B : 5 x 4 = 20 Marks
II. Short Answer Questions.
(i) Answer any Five questions.
(ii) Each Question carries Four marks.
11. A (2, 3) and B (-3, 4) be two given points. Find the equation of the Locus of P, so that the area of the Triangle PAB is 8.5 sq. units.
15. Find the derivative of sin 2x from the first principle.
16. A particle is moving in a straight line so that after t seconds its distance s (in cms) from a fixed point on the line is given by s = f (t) = 8t + t3. Find (i) the velocity at time t = 2 sec (ii) the initial velocity (iii) acceleration at t = 2 sec.
SECTION – C : 5 x 7 = 35 Marks
III. Long Answer Questions.
(i) Answer any Five questions.
(ii) Each Question carries Seven marks.
18. Find the equation of straight lines passing through (1, 2) and making an angle of 600 with the line 3x +y + 2 = 0 .
19. A wire of length l is cut into two parts which are bent respectively in the form of a square and a circle. Find the lengths of the pieces of the wire, so that the sum of the areas is the least.