Showing posts with label Class 10 Math R S Aggarwal Solution. Show all posts
Showing posts with label Class 10 Math R S Aggarwal Solution. Show all posts

Problems Dated Nov 05 2021. 




Problem No 09 

First Number = x 

Second Number =y 

Case 1 
(x+2)/(y+2) = 1/2

Case 2 
(x-4)/(y-4) = 5/11

From 1 

2x - y = -2 ...... 3 

from 2 

11x - 5y = 24 .... 4 

Multiplying Eqn 1 by 5 

10 x - 5y = -10   .......5

Eqn 4 -Eqn 5 

11x - 5y -10 x + 5y = 24 + 10 

x = 34 

From Eqn 1 

2 (34) - y = -2 
or y = 68 + 2 = 70  Answer. 


 

Exercise 3E R S Agarwal 

Problem No 01 

Chair = x 

Tables = y 


5 x + 4 y = 5600 ..... 1 

4 x + 3 y = 4340 ....... 2 

1 * 4  &  2 * 5 

20x + 16 y = 22400.......... a 

20x + 15y = 21700............b 

a-b 

y = 700

5x + 2800 = 5600 

5x = 2800 

x = 560 Ans 


Problem No 02

 

MISC

Maths Problems dated 03 Nov 2021


Problem No 01

In the given figure APB and AQB are two semi circle. (Given) 

Perimeter of the given shape will be equal to 

= Circumference of half semi circle (APB) + Circumference of quarter semicircle AQO + QO RADIUS + OB RADIUS 

= ( PI * R ) + (0.5 * PI * R) + R + R 

But this perimeter is given equal to the 47 cm.

Hence, 

( PI * R ) + (0.5 * PI * R) + R + R  = 47 cm 

R * ( 22/7 + 11/7 + 1 + 1 ) = 47 CM 

R * ( 47/7) = 47 CM 

It implies that R = 7 cm 

Area of Shaded Region 


Area of total Circle - Area of Quarter CIrcle 

(PI * R * R ) - (0.25 * PI * R* R) = (0.75 * PI * R* R) 

= 0.75 * 22/7 * 7 * 7 = 115.50 CM2 ANS 
It seems that answer given is incorrect. 

 Chapter 02 Polynomials 


Problem No 01 :- Find the Zeros of the Polynomials and verify the relationship between the zeros and coefficients :-


x2 + 7x + 12


To find the zeros of polynomial, It should be equated to zero first

Hence,


x2 + 7x + 12 = 0


Or, x2 + 4x + 3x + 12 = 0


Or, x (x + 4)+ 3 (x + 4 ) = 0


Or, (x + 3) * (x + 4 ) = 0


It implies that x = - 3 & -4 Ans ............................................... (1)


Comparing the Given Eqn with Stnd Eqn i.e. ax2 + bx + c = 0


We Get, a=1 , b = 7 & c = 12


α + β = -3 + ( - 4) = - 7................................... (2)


-b /a = -7 / 1 = -7 .............................................(3)


Also α * β = -3 * -4 = 12 .................................(4)


c / a = 12 / 1 ......................................................(5)


From (2), (3) (4) & (5) relation between the zeros and coefficients can be verified.

 

CLASS 10 MATHEMATICS

Welcome All, 

In this Section,  a collection of problems have been presented from various Books of CBSE Mathematics Class 10. 

Problems can be seen by clicking on the list of chapters given below :- 

  1. Real Numbers
  2. Polynomials
  3. Linear Equation in Two Variables
  4. Triangles
  5. Trigonometric Ratios. 
  6. T-Ratios of some Particular Angles. 
  7. Trigonometric Ratios of Complementary Angles. 
  8. Trigonometric Identities. 
  9. Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive. 
  10. Quadratic Equations
  11. Arithmetic Progressions.
  12. Constructions
  13. Circles
  14. Heights and Distances
  15. Probability
  16. Coordinate Geometry 
  17. Perimeter and Area of Plane Figures. 
  18. Area of Circle, Sector and Segment
  19. Volume and Surface Area of Solids
  20. Misc Problems


Feel Free to give your suggestions and feedback in the comment section below. 

Thank you.