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प्रश्न
The points S, Y, N, C, R, A, T, I and O on the number line are such that CN = NY = YS and RA = AT = TI = IO. Find the rational numbers represented by the letters Y, N, A, T and I
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उत्तर
Y = `-2 + 1/3 = (-6 + 1)/3 = (-5)/3`
N = `(-5)/3 + 1/3 = (-5 + 1)/3 = (-4)/3`
RA = AT = TI = IO = `1/4`
A = `2 + 1/4 = (8 + 1)/4 = 9/4`
T = `9/4 + 1/4 = (9 + 1)/4 = 10/4`
I = `10/4 + 1/4 = (10 + 1)/4 = 11/4`
APPEARS IN
संबंधित प्रश्न
Show the following numbers on a number line. Draw a separate number line for the example.
`3/2 , 5/2 , -3/2`
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 `
= `square^2`+ `square^2` = `square` + `square`
= `square`
∴ l(OR) = `square`
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 `sqrt3`.
Evaluate:
`4 + 3/(-5)`
Evaluate:
`(-8)/9 + -5/12`
Evaluate:
`4/(-9) + 1`
Draw a number line and mark
`3/4, 7/4, (-3)/4 and (-7)/4` on it.
Find the rational numbers represented by the question marks marked on the following number line
Draw a number line and represent the following rational numbers on it
`(-8)/3`
Draw a number line and represent the following rational numbers on it
`15/(-4)`
The rational numbers `(-12)/(-5)` and `(-7)/17` are on the opposite sides of zero on the number line.
