Two marks questions
1. Show that the lengths of two tangents drawn from an external point to a
circle are equal
2. (2, 3), (4, 5), (4, 9) and (2, 7) are the vertices of a quadrilateral. Prove that the
diagonals bisect.
3. In what ratio does P ( 4, 6 ) divide the joining of A ( -2,3) , B ( 6, 7)
3. Find the equation of the line passing through (4, -3) and is
perpendicular to the line 2x–5y+4 = 0.
4. One end of the diameter of a circle is (5, 4) and the centre is (0,0) . Find the
coordinates of the other end of the diameter.
5. Prove that the points (1, 2), (-3, 4) and (7,-1) are collinear.
6. Show that sin2A + cos2A = 1.
7. Given that 4 Sin A = 3, find Sec2A – Tan2A.
8. Show that tan 2 A + Tan4 A = Sec4 A – Sec 2A.
9. The mean of 20 observations is 12.5. By an error, one observation is
registered as -15 instead of 15. Find the correct mean.
10. Draw the structure diagram of a computer.
11. What are different boxes used in a flow chart? Write for what functions they
are used.
12. What should be kept in mind while writing an algorithm?
13. If (x.y) 􁉂 2 3
0 1
􁉃= (6, 10), then find the values of x and y.
14. If B =􁉂 1 2
1 3
􁉃, show that B + B -1 = 4I.
Five marks questions
1. Construct a triangle ABC in which BC = 5 cm, A = 70 0 and median AD = 3.5
cm.
2. Construct a triangle ABC in which BC=7 CM, A =700;
And foot of the perpendicular D on BC from A is 4.5 cm. away from B.
3. An aeroplane at an altitude of 2500 m. Observes the angles of depression of
opposite points on the two banks of a river to be 4102o’ and 52010’. Find the width
of the river in meters.
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One mark questions
1. Define similar triangles, similar polygons
2. The slope of the line 2x -3y +5 = 0.
3. Expand CPU
4. The distance between the two centers of the circle touches internally whose radii
are 7 cm and 5 cm respectively.
5.write the relation among mean, median and mode
6. i) Define singular matrices, ii) symmetric matrices.
7. The mode of 1st n natural numbers.
8. Find the value of 􀬵􀬿 􀯍􀯔􀰮􀯡 􀬵 􀬹􀰬
􀬵􀬾 􀯍􀯔􀰮􀯡 􀬵 􀬹􀰬
9. Convert 720 into radians form.
10. Cos 4200 =?
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