Show the following numbers on a number line. Draw a separate number line for each example.
`7/5 , (-2)/5 , (-4)/5`
Concept: Rational Numbers on a Number Line
Show the following numbers on a number line. Draw a separate number line for each example.
`(-5)/8 , 11/8`
Concept: Rational Numbers on a Number Line
Show the following numbers on a number line. Draw a separate number line for each example.
`13/10 , (-17)/10`
Concept: Rational Numbers on a Number Line
The number `sqrt2` is shown on a number line. Steps are given to show `sqrt3` on the number line using `sqrt2`. Fill in the boxes properly and complete the activity.
Activity :
- The point Q on the number line shows the number ...... .
- A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.
- Right angled ORQ is obtained by drawing seg OR.
`l (OQ) = sqrt2` , `l(QR) = 1`
`therefore` by Pythagoras theorem,
`[l(OR)]^2 = [l(OQ)]^2 + [l(QR)]^2 `
= _____2 + _____2 = _____ + _____
= ______
∴ l(OR) = _____
Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number √3.
Concept: Rational Numbers on a Number Line
Show the number √5 on the number line.
Concept: Rational Numbers on a Number Line
Show the number √7 on the number line.
Concept: Rational Numbers on a Number Line
Expand.
(a+2)(a−1)
Concept: Expansion of (x + a)(x + b)
Expand.
(m−4)(m+6)
Concept: Expansion of (x + a)(x + b)
Expand.
(p+8) (p−3)
Concept: Expansion of (x + a)(x + b)
Expand.
(13+x) (13−x)
Concept: Expansion of (x + a)(x + b)
Expand.
(3x+4y) (3x+5y)
Concept: Expansion of (x + a)(x + b)
Expand.
(9x−5t) (9x+3t)
Concept: Expansion of (x + a)(x + b)
In a circle with centre P, chord AB is drawn of length 13 cm, seg PQ ⊥ chord AB, then find l(QB).
Concept: Properties of Chord of a Circle
Expand.
`(m+2/3)(m-7/3)`
Concept: Expansion of (x + a)(x + b)
Expand.
`(x+1/x)(x-1/x)`
Concept: Expansion of (x + a)(x + b)
Expand.
`(1/y+4)(1/y-9)`
Concept: Expansion of (x + a)(x + b)
Radius of a circle with centre O is 25 cm. Find the distance of a chord from the centre if length of the chord is 48 cm.
Concept: Properties of Chord of a Circle
O is centre of the circle. Find the length of radius, if the chord of length 24 cm is at a distance of 9 cm from the centre of the circle.
Concept: Properties of Chord of a Circle
C is the centre of the circle whose radius is 10 cm. Find the distance of the chord from the centre if the length of the chord is 12 cm.
Concept: Properties of Chord of a Circle
Find the volume of a box if its length, breadth and height are 20 cm, 10.5 cm and 8 cm respectively.
Concept: Standard Unit of Volume
