How to locate √x on number ...

How to locate √x on number line
  • 1 answers

Sia 🤖 1 year, 1 month ago

We can write 10 as
{tex}10 = 9 + 1 = 3^2 + 1^2{/tex}
Draw OA = 3 units, on the number line
Draw BA = 1 unit, perpendicular to OA.
Join OB
Figure: 

Now, by Pythagoras theorem,
{tex}OB^2 = AB^2 + OA^2\\ OB^2 = 1^2 + 3^2 = 10{/tex}
{tex}\Rightarrow \quad O B=\sqrt{10}{/tex}
Taking O as centre and OB as a radius, draw an arc which intersects the number line at point C.
Clearly, OC corresponds to {tex}\sqrt{10}{/tex} on the number line.

Related Questions:

Q.1.Write in form of 1.. Q.2. Evaluate (-26)3+ (14)3+ (12)3 Q.3.Write sample space if two coins are tossed together. Q.4.Find area of triangle using Heron’s formula with sides 3 cm , 4 cm , 5 cm. Q.5. If volume and surface area of a sphere are equal in magnitude. Find radius. Q.6. Find median of following data 32, 15, 87.20, 66, 9, 30, 5. PART- B ( 2x6 =12) Q7. The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral. Q.8. When P(x)=x3 +5x2 -14x +5 is divided by ( x- 1 ).using remainder theorem,find remainder. Q.9. Factorise x2 + 10x -24 Q.10. Prove that if two parallel lines are intersected by a transversal, the bisectors of any pair of alternate interior angles is parallel. Q.11. In a || gm ABCD, it is given the: AB = 16 cm and the altitudes corresponding to the sides AB and AD are 6 and 8 cm respectively. Find the length of AD. Q.12. Locate the points (5, 0), (0, 5), (2, 5), (5, 2), (–3, 5), (–3, –5), (5, –3) and (6, 1) in the Cartesian plane. PART-C (3x10=30) Q.13. Find quotient and the remainder when the polynomial is divided by Q.14. If= a + b .Find a and b . Q.15. If the bisectors of angles ABC and ACB of a triangle ABC meet at a point O then show that BOC = 900 + A. Q.16. Find six rational numbers between and . Q.17. Using ruler and compass only, construct a ABC from the following data AB +BC + CA = 12 cm ,0. Q.18. CDE is an equilateral triangle formed on side CD of a square ABCD . Show that Q.19. A cylindrical tent of height 3.5 m can hold air for 22 people. Each person need 7 m3 of air, find base radius of tent. Q.20. If a sphere of maximum volume is inscribed in a cube of side 14 cm, then find (i) the ratio of the surface areas of the cube to the sphere.(ii) volume of sphere. Q.21. Show that each angles of rectangle is a right angle. Q.22A hemispherical bowl is made from a metal sheet having thickness 0.3 cm. The inner radius of the bowl is 24.7 cm. Find the cost of polishing its outer surface at the rate of Rs. 4 per 100 cm2. (Take = 3.14) PART-D (4x8=32) Q.23 : If 6cm and 8cm are two parallel chords of a circle of radius 5cm. Find distance between chords. when chords are on same side of centre and opposite side of centre. Q.24. A right triangle with sides 6 cm, 8cm, and 10 cm is revolved about the side 6 cm.Find volume and the curved surface area of the solid so formed. (Take =3.14) Q.25.find mean of given data. Class interval 20-30 30-40 40-50 50-60 60-70 70-80 Frequency 06 09 17 23 28 10 Q.26. Factories: Q. 27. Draw graph of lines X+Y=4 and 3X—4Y=12. And calculate area bounded by these lines and Y-axis. Q. 28. Age (in years) 20-29, 30-39, 40-49 , 50-59 , 60 and above Number of worker 38 , 27 , 86 , 46 , 3 Find probability that a person is (i) 40 years or more (ii) under 40 years (iii) age from 30 to 39 (iv) under 60 but
  • 1 answers
57
  • 0 answers
X2+7x+12
  • 2 answers
What is trignometric ratio
  • 1 answers
Two lineAB||DC intersected by a line ed
  • 0 answers
Why is 1/0 always 0
  • 6 answers
Define composite number
  • 0 answers

myCBSEguide App

myCBSEguide

Trusted by 70 Lakh Students

CBSE Test Generator

Create papers in minutes

Print with your name & Logo

Download as PDF

3 Lakhs+ Questions

Solutions Included

Based on CBSE Blueprint

Best fit for Schools & Tutors

Work from Home

  • Work from home with us
  • Create questions or review them from home

No software required, no contract to sign. Simply apply as teacher, take eligibility test and start working with us. Required desktop or laptop with internet connection