DATE OF SUBMISSION : 31.05.2018
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DATE OF SUBMISSION : 03.01.2018

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DATE OF SUBMISSION : 13.11.2017

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DATE OF SUBMISSION : 06.11.2017

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DATE OF SUBMISSION : 06.10.2017

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SUBMISSION DATE :18.09.17

HW 1 SUB TOPIC : AREAS OF SIMILAR TRIANGLES

1.       ABC & DBE are two equilateral triangles such that D is the mid point of BC . Find the ratio of the areas of triangles ABC & BDE

2.       If the areas of two similar triangles are equal , prove that they are congruent

3.       Sides of two similar triangles are in the ratio 4:9  , find the ratio of their areas

4.       Line segment XY is parallel to side AC of ∆ABC and it divides the triangle into two parts of equal area . Find the ratio AX/AB

HW 2 SUB TOPIC : PYTHAGORAS THEOREM

1.Sides of triangles are given below . Determine which of them are right triangles. In case of a right triangle , write the length of its hypotenuse

(i) 7cm , 24cm , 25 cm

(ii) 3cm ,8cm , 6cm

(iii) 5ocm , 80cm , 100cm

(iv) 13cm , 12cm , 5cm

2. ABD is a triangle rt angled at A & AC Ʇ BD . Show that (i) AB² = BC . BD

(ii) AC² = BC . DC     (iii) AD² = BD . CD

3. ABC is an isosceles triangle rt angled at C . Prove that AB² = 2 AC²

4. ABC is an isosceles triangle with AC = BC . If AB² = 2 AC² , prove that ABC is a right triangle

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ARITHMETIC PROGRESSION
SUBMISSION DATE :16 .08.17
HW 1 SUB TOPIC : FORMING AN AP
1. Write first four terms of the AP when first term & common difference are given
(a) A = 10 , d = 10
(b) A= - 2  , d = 0
(c) A= - 1.25   , d= 0.25
2. In the following AP write the first term & common difference
(a) – 5  , - 1  , 3 , 7
(b) 1/3 , 5/3 , 9/3 ,13/3
(c) 0.6 , 1.7 , 2.8 , 3.9
3. Find whether the following form an AP? If so find the common difference & first three terms
(a) 2 ,4 , 8 , 16 …
(b) 2 , 5/2 , 3 , 7/2  …
(c) – 1.2 , - 3.2  , - 5.2 , - 7.2
(d) 0.2 , 0.22 , 0.222 , 0.2222 , …
(e) 0 , - 4 , - 8 ,- 12  …
(f) – ½ , - ½ , - ½ , …
(g) 1,3,9,27,…
(h) a , 2a , 3a , 4a , …
(i) a , a2 , a3 , a4 , …
(j) 12 , 32 , 52 , …
HW 2  SUB TOPIC : nth term of an AP – statement problems
1. How many multiples of 4 lie between 10 & 250 ?
2. For what value of n are the nth term of two AP 63 , 65 , 67 , ..   3 , 10 , 17 , .. equal ?
3. Determine the AP whose third term is 16 & the seventh term  exceeds  the eighth term by 12 ?
4. Subha Rao started work in 1995 at an annual salary  of RS 5000 & received increment of Rs 200 each year. In which year did his income become 70000 ?
5. Rakali earned Rs 5 in the first week . Each week the increment was Rs 1.75  ; Which week her income is Rs 20.75 ?
HW 2  SUB TOPIC : Sum of n terms  of an AP – statement problems
1. How many terms of the AP 9 , 17 , 25 , … must be taken to form a sum of 636 ?
2. The first term of an AP is 5 , the last term is 45   & sum is 400 . Find number of terms & common difference
3. Find the sum of first 51 terms of an AP , whose second & third term are 14 & 18 ?
4. Find the sum of the first 40 positive integers divisible by 6
5. Find the sum of first 15 multiples of 8

6. Show that a1 , a2 , a3 …an form an AP , where a is defined as below

SUBMISSION DATE: 10.08.2017

PAIR OF LINEAR EQNS IN TWO VARIABLES CLASS : 10 HOMEWORK FOR THE WEEK 11.07 .17 TO 18.07.17

SUBJECT : MATHEMATICS   TOPIC : PAIR OF LINEAR EQNS IN TWO VARIABLES

SUBMISSION DATE : 19 .07.17

HW 1 SUB TOPIC : ALGEBRAIC METHOD OF SOLVING THE PAIR OF EQUATION

1  1.       Solve the following pair of equations by substitution method

(a)    X + y = 14  ,   x – y = 4

(b)   5 – t = 3  ,  5/3 + t/2 = 6

(c)    0.2 x + 0.3 y = 1.3   ,  0.4 x + 0.5 y = 2.3

(d)   3/2 x – 5/3 y = - 2    ,   x/3 + y/2 = 13/6

2   2.    The coach of a cricket team buys 7 bats & 6 balls for Rs 3800 . Later she buys 3 bats & 5 balls for Rs 1750 . Find the cost of a bat & a ball

3.   3.    Five years hence the age of Jacob will be three times that of his son. Five years ago Jacob’s age was seven time the age of his son. What are their present ages ?

HW 2  SUB TOPIC : ALGEBRAIC METHOD OF SOLVING THE PAIR OF EQUATION

1.   1.    Solve the following pair of equations by elimination  method

(a)    3x – 5 y = 4  ,  9x = 2y + 7

(b)   x/2 + 2y/3 = - 1    , x – y/3  = 3

2.   2.    Five years ago Nuri was thrice as old as Sonu . Ten years later Nuri will be twice as old as Sonu. Find their present ages

HW 3  SUB TOPIC : ALGEBRAIC METHOD OF SOLVING THE PAIR OF EQUATION

1.   1.    Find whether the pair of equations have unique solution , no solution or infinetly many solutions ? In case of unique solution , find it b cross multiplication method

(a)    3x – 5y = 20    , 6x – 10y  = 40

(b)   X – 3y – 7 =0    ,   3x – 3y – 15 = 0

2.    2.   A fraction becomes 1/3 when 1 is subtracted from the numerator & it becomes ¼  when 8 is added to the denominator . Find the fraction

HW 4  SUB TOPIC : ALGEBRAIC METHOD OF SOLVING THE PAIR OF EQUATION

1.   1.    Solve the following pair of equations by reducing them to linear form

(a)    4/x + 3y = 14   ,  3/x – 4y = 23

(b)   6x + 3y = 6xy   , 2x + 4y = 5xy

SUBMISSION DATE: 03.08.2017
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SUBMISSION DATE : 11 .07.17

HW 1 SUB TOPIC : ALGEBRAIC & GRAPHICAL REPRESENTATION OF  STATEMENTS

1.     The coach of a cricket team buys 3 bats and 6 balls for Rs 3900 . Later she buys another bat & 3 more balls of the same kind for Rs 1300. Represent this situation algebraically & geometrically

2.     The cost of 2 Kg apples & 1 Kg grapes on a day was found to be Rs 160. After a month the cost of 4 Kg of apples & 2 Kg of grapes is Rs 300 . Represent this situation algebraically & geometrically

HW 2  SUB TOPIC : GRAPHICAL METHOD OF SOLUTION OF A PAIR OF LINEAR EQNS

1.      5 Pencils & 7 pens together cost Rs 50,whereas 7 pencils & 5 pens cost Rs 46 .Find the cost of one pen & a pencil

2.      Compare the ratios a1/a2   , b1/b2  & c1/c2 & find whether the following pairs of linear eqns intersect at a point, are parallel or coincident

(i)                 5x – 4y +8 = 0    ,   7x + 6y – 9 = 0

(ii)               9x + 3y +12 = 0  ,   18 x + 6y +24 = 0

(iii)             6x – 3 y +10 = 0  ,   2x – y + 9 = 0    

3.      On comparing the ratios of a1/a2 , b1/b2 & c1/c2 find out whether the following pairs of linear eqns are consistent or inconsistent

(i)                 3x + 2y = 5  ,  2x – 3 y = 7

(ii)               2x – 3 y = 8  ,  4x – 6 y = 9

(iii)             3/2 x + 5/3 y = 7  ,  9x – 10 y = 14

(iv)             5x – 3 y = 11  ,  10x + 6y = -22 

(v)               4/3 x + 2y = 8 ,  2x + 3y = 12

4.      Find whether the following pairs are consistent or inconsistent ? If consistent obtain the solution graphically

(i)                  x+y = 5  ,   2x + 2y = 10 

(ii)               X- y = 8   ,  3x – 3 y =16 

(iii)             2x+y – 6 = 0  ,  4x – 2 y – 4 = 0

(iv)             2x – 2y = 2 = 0  ,  4x – 4 y – 5  = 0