Construct \(\bar{PQ}\) of length 7 cm. From this cut-off \(\bar{PA}\) of length 3.2 cm. Measure \(\bar{QA}\)

3

(a)

Draw a line segment AB using a ruler of length 5 cm. Also, construct a line segment of length 5 cm using ruler and compass.

3

(a)

Draw a line AB to 6.5 cm length. At the end points A B draw two perpendiculars. Are these lines perpendicular to each other?

3

(a)

Draw a circle of radius 4 cm. Draw the longest chord. Will it pass through the centre, if yes, what is the name such chord?

3

(a)

Draw two circles of radius 4 cm and 5 cm intersecting each other at point C and O. Join the centres A and B of the circles and points C and D. What is the relation between \(\overline { CD } \) and \(\overline { AB } \)?

3

(a)

Draw a right angled \(\triangle\)ABC, right angled at B. Draw a circle circumscribing the \(\triangle\)ABC. What is the side AC?

3

(a)

Draw an equilateral \(\triangle\)ABC of side 3 cm. Construct a perpendiculars \(\overline { XB } \). What is the measure of \(\angle\)XBA?

3

(a)

Construct a circle with radius 4 cm. Construct a rectangle inscribed in the circle. What are the diagonals of rectangle, so formed equal to?

3

(a)

The longest chord of a circle is 8 cm. How will you find the centre of the circle?

3

(a)

Draw a line segment PO length 4 cm using a ruler. Also, construct a line segment of 4 cm using ruler and compass.

3

(a)

Draw a line segment \(\bar{AB}\) of length 5 cm. Take a point P on it. Through P, draw a perpendicular to AB. (using ruler and compasses).

3

(a)

Draw PO of length 7 cm and find its axis of symmetry.

3

(a)

There were five pieces of cloth of lengths 15 m, 21 m, 36 m, 42 m, 48 m. But all of them could be measured in whole units of a measuring rod. What could be the largest length of the rod?

3

(a)

Two boatmen start simultaneously from the opposite shores of a river and they cross each other after 45 minutes of their starting from the respective shores. They rowed till they reached the opposite shore and returned immediately after reaching the shores. When will they cross each other again?

3

(a)

The ratio of income to expenditure of Mr. Natarajan is 7: 5. if he saves Rs 2000 a month, what could be his income?

3

(a)