ASSESSMENT FOR SUMMER VACATION CLASS X
SUBJECT : MATHS
1) Show That 9ncannot end with digit 0 for any natural number n .
2) If α and β are the zeroes of a polynomial x2_4√3+3 then find the value of α+β-αβ .
3) Check whether 14n can end with the digit zero for any natural number n.
4) Solve the following equations graphically:
3x-y=7 and 2x +5y+1=0
5) Find a quadratic polynomial, the sum and the product of where zeroes are 0 and -3 / 5
respectively .hence , find the zeroes.
6) For what values of a and b does the following pair of linear equations have infinite number of
equations?
2x+3y=7 and a (x+y) - b(x-y)= 3a+b -2
7)Ifx+a is a zero of the polynomial 2x2+3ax+1,find the value of a.
8)Find a quadratic polynomial,the sum of whose zeroes is 7 and their products is 12. Hence, find the
zeroes of the polynomial.
9)If α and β are zeroes of the quadratic polynomial x2-2x-15, then form a quadratic polynomial
whose zeroes are 2a+1 and 2β+1
10)Find the zeroes of the quadratic polynomial 2x2-x-6 and verify the relationship between the
zeroes and the coffecient
11)Check whether the following system of linear equations are consistent or
inconsistent.Ifconsistent,then find the solution graphical
2x+y-6=0; 4x-2y-4=0
12)State fundamental theorem of arithmetic.
13)Stateeuclid’sdevision lemma
14)USEeuclid’s division algorithm to find HCF of 255 and 867
15)useeuclid’s division algorithm to find the HCF of 455 and 42
16)show that any positive integer is of the form of 4q=1 or 4q+3 , where q is any positive integer
17)Show that any positive odd integers is of the form of the 8q+1 or 8q+3 or 8q+5 or 8q+7, where q
is some integer
18)Given that HCF (2520,3850)=70,find the LCM(2520,3850)
19)Write the sum and product of the zeroes of the polynomial x3-4x
20) If α and β are the zeroes of the polynomial f(x)=x2-5x+k, such that α-β=1, find the value of K.
21)Find all the zeroes of the polynomial f(x)=2x4 -3x3-9x2=15x-5 if two of its zeroes are √5 and -√5
22)if 2 is a zero of polynomial g(x)=px2-3(p-1)x-1,then find the value of p.
23) if one of zero of 3x2-4x+p is reciprocal to the other, then find the value of p.
24)if α and β are the zeroes of polynomial x2-4x+3, then find the quadratic polynomial whose roots
are 3α and 3β.
25) if α and β are the zeroes of the polynomial 4x2 + 3x +7,then find the values of 1/α + 1/β.
26) if α and β are the zeroes of the polynomial p(x)=2x2-5x +7 find a polynomial whose zeroes are 2a
+3 and 2β+3.
27) write the polynomial whose zeroes are 3+√2 and 3-√2
28) if the zeroes of the quadratic polynomial x2+(a+1)x+b are 2 and -3 , then find the value of a and
b.
29)ifp,q are zeroes of polynomial f(x)=2x2-7x+3, find the value of p2+q2.
30)find all the zeroes of 2x4-6x3+3x2+3x-2,if two of its zeroes are 1/√2 and 1/ √2.
31)find all zeroes of the polynomial x3+4x2+x-6,if one of its zeroes is -3.
32)find all zeroes of x3+11x2+23x-35,if two of its zeroes are 1 and -5.
33)for what value(s) of “a”, the system of linear equations 2x+3y=7 and (a-1)x +(a+1)y= 3a+1
represent parallel lines.
34)find value of p , if (-3,p)lies on 7x+2y=14
35)solve the following pair of linear equations graphically: 2x-3y=1; 4x-3y+1=0
Does the point (2,3) lie on any one of the lines formed by the above given equations? if yes, write
the equation of the line .
36)solve :3/x-2/y=0 and 2/x+5/y=19. Hence , find the p , if y =px+3.
37)solve: 5x+2y=2 and 2x+3y=-8 and hence find the value of m for which y=mx+4.
38)solve: x/a+y/b=a+b
x/a2 +y/b2 =2,a;b≠0
[pair of linear eq.]
SUBJECT : COMPUTER
MAKE A PPT ON TOPIC : USE OF 3D ANIMATION IN TODAYS WORLD AND SAVE IT IN A CD.
SUMMER VACATIONS’HOMEWORK
Class 10
English
1. Article : a) health is wealth b) women education c) adult education d) laughter is
the best medicine
2. Read English newspaper daily and collect 10 ‘Letters to the Editors’ and paste in
notebook. Write these letters in correct format according to CBSE.
3. Prepare PPT on the life of Helen Keller.
4. Prepare Pamphlets or Collage on –HEALTY FOOD, EDUCATION FOR ALL, SAVE GIRL
CHILD and PROTECT TOURIST PLACES based on units of MCB.
5. Write a short story in about 200 words on the basis of the given hints.
SCENARIO: a tragedy strikes a farmer family
BEGINNING: the farmer has taken a loan of rupees one thousand from the money
lender. Unable to pay because of financial crisis due to crop failure.
MIDDLE: the money lender comes to farmer’s house with a few hired goons
.threatens him.
ENDING: Farmer’s dead body is found hanging from a tree.
HINDI
SCIENCE
SOCIAL SCIENCE