ICOME
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Unit 5

Unit-5: Geometry and Co-ordinate Geometry

(a) Quadrilaterals, parallelogram and their properties

(b) Circles

(c) Co-ordinate geometry


Q1. Write the coordinate of a point whose abscissa is -3 and ordinate is 2.

(a) (-3,0) (b) (-3,2) (c) (2,3) (d) (2,0)

Solution.
(b) (-3,2)
Note : abscissa represents x - coordinate. ordinate represents y - coordinate.
Solution

Q2. The perpendicular distance of the point p(7,9) from the y-axis .

(a) 7 (b) 9 (c) 0 (d) 2

Solution.
(a) 7
Solution

Q3. The point p(x,y) lies in the 2nd quadrant, which is greater x or y.

(a) y (b) x (c) x=y (d) None

Solution.
(a) y
Note :
ordinate (y) is positive and abscissa is negative .
Solution

Q4. Find the area of triangle which is formed by points A(0,0), B(0,4) and C(6,0) .

(a) 12 unit (b) 24 unit (c) 6 unit (d) 8 unit

Solution.
(a) 12 unit
Area of triangle = 1/2 x base x height
Solution

Q5. The region between arc and two radii is called __________ .

(a) radius (b) diameter (c) sector (d) chord

Solution.
(c) sector
Solution

Q6. (i) Circles having the same centre are called concentric circles.
(ii) The circles having same radii are congruent.
which statement is right .

(a) only (i) (b) only (ii) (c) both (d) none of these

Solution.
(c) both
Solution

Q7. How many circles passing through three non-collinear points.

(a) four (b) three (c) two (d) one

Solution.
(d) one
Solution

Q8. Angle in a semicircle is a __________ angle.

(a) 500 (b) 600 (c) 750 (d) 900

Solution.
(d) 900
Solution

Q9. In an parallelogram ABCD in which diagonals AC and BD intersect at o. If area of parallelogram ABCD is 80 cm2 the find area of triangle OAB .

(a) 10cm2 (b) 20cm2 (c) 30cm2 (d) 40cm2

Solution.
(b) 20cm2
Solution

Q10. D and E are the mid points of BC and AD respectively of ▵ABC. If area of ▵ ABC = 48cm2 find area of triangle EBD.


(a) 15cm2 (b) 12cm2 (c) 10cm2 (d) 24cm2

Solution.
(b) 12cm2
Solution