Four marks questions
1. If B = 􁉂􀜽 􀜾
􀜿 􀝀
􁉃 and B = 􁉂 1 0
0 1
􁉃 show that A2 – ( a + d ) A = ( bc – ad ) I.
2. Prove that 􀯍􀯔􀯡 Ѳ􀬾􀯌􀯘􀯖 Ѳ􀬿􀬵
􀯍􀯔􀯡 Ѳ􀬿􀯌􀯘􀯖 Ѳ􀬾􀬵 = 􀬵􀬾􀯌􀯜􀯡 Ѳ
􀮼􀯢􀯦 Ѳ.
3. If A = 􁉂 1 4
0 −1
􁉃, B = 􀵤 2 􀝉
0 −1/2􀵨and AB = BA, then find ‘m’.
4. If Sec A + Tam A = p, show that Sin A =􀯣􀰮􀬿􀬵
􀯣􀰮􀬾􀬵 .
5. Find the median of the marks scored by 50 students in a 50 marks test.
Marks 1-10 11-20 21-30 31-40 41-50
No. Of
students
5 12 16 14 5
6. One end of the diameter of the circle is (2,3) and the centre is (-2, 5 ). Find
the coordinates of the other end.
7. Find the area of the triangle enclosed between the coordinate axes and the
line passing through ( 8, -3) and (-4 , 12 ).
8. if the area of the triangle formed by the vertices (t, 2t), (-2, 6 ) , ( 3, 1 ) is 5
sq. units. Find t.
9. State and prove Pythagorean theorem.
10. Find the coordinates of the points of trisection of a segment joining A (-3,
2) and B (9, 5 )
11. If (p,-3), (1, 3), (5, -5) are collinear points, find p.
12. Find the equation of a line passing through the point ( 4, 3 ) and making
intercepts on coordinate axes whose sum is equal to -1.
13. If (-1, 2) , (4, 1), ( 7, 16 ) are the three vertices of a parallelogram, find the
coordinates of the fourth vertex and its area.
14. Determine the perimeter of the triangle whose vertices are A ( 3,2 ) , B (
7, 2) and C ( 7, 5 ) .
15. Marks scored by 100 students are given below. Find the mode.
Marks 15-24 25-34 35-44 45-54 55-64 65-74
No. Of
students
8 20 28 30 10 4
16. The mean of the following table is 50. But the frequencies f1 and f2 in
classes 20 – 40 and 60 -80 are missing. Find the missing frequencies.
Marks 0-20 20-
40
40-
60
60-
80
80-
100
Total
Frequency 17 F1 32 F2 19 120
_______________________________________________________________________________________
SRI SATYA VAGDEVI STUDY circle,
Town kotha road. Vsp. Ph: 9959 786 421,
premier institute for polytechnic, aprjc
entrances and for inter Tuitions
Sponsored by
SRI SATYA VAGDEVI
STUDY CIRCLE
D.No. 21-33-4, Near Satya sri, Town Kotha road, Visakhapatnam
Branch:Sri kashyap shool. Near neelamma thalli veepa chettu, Daba
gardens, vsp. Ph: 9959786421,
We Offer excellent coaching for
polytechnic
& APRJCENTRANCES & INTER TUITIONS.
Maths paper
2 guess
questions
For other subjects guess questions contact us.