say the answer of following question
Answers
ing Euclid’s algorithm.
A)867,255 B)196,38220 C)272,1032.
14.Show that any number of the form 4 n ,n Ncan never end with digit 0.
15.Find the HCF and LCM of 126 and 156 using prime factorization.
ASSINGMENT: CHAPTER 2:POLYNOMIALS
1. If α and β are the zeroes of the polynomial f(x)=x 2 -5x+k such that α-β=
l water and the speed of current.
13. The sum of two numbers is 1000 and the difference between their squares is
256000.Find the numbers.
14. The difference of two numbers is 4 and difference of their reciprocal is.Find the
numbers.
15. Solve 23x-29y=98;29x-23y=110.
16. + =4; -=-2
PRACTICE SUMS: CHAPTER 5 ARITHEMATIC PROGRESSION
1. Find the nth and 16 th term of the A.P 3,5,7......(2n+1,33)
2. Find the 25 th term of the A.P -5,,0,,.....(55)
3. Is 51 a term of the A.P 5,8,11,14...(No)
4. For what value of n are the nth terms of the following two A.Ps the same
13,19,25...and
69,68,67.....?Also find this term.(9,61)
5. If 5 times the 5 th term of an A.P is equal to 8 times its 8 th term,show that its 13 th
term is zero.
6. How many multiples of 4 lie between 10 and 250.(60)
7. Find the sum of two middle most terms of the A.P ,-1,,.....4.(3)
8. The 19 th term of an A.P is equal to 3 times its 6 th term.If its 9 th term is 19,find
the
A.P.(3,5,7.....).
9. Find the value of x for which (x+2),2x,(2x+3) are three consecutive terms of an
A.P.(x=5).
10. Find the sum of first n terms of an A.P whose nth term is (5n-1),Hence find the
sum of first
20 terms.(,1030)
11. The first and last terms of an A.P are 7 and 49 respectively.If the sum of all its
terms is
420,find its common difference.(3)
12. The sum of the 4 th and 8 th terms of an A.P is 24 and the sum of its 6 th and 10
th terms is 44.Find
the sum of first ten terms of the A.P.(95)
13. The sum of first 6 terms of an A.P is 42.The ratio of its 10 th terms to 30 th term
is 1:3.find the
first and the 13 th term of the A.P.(2,26).
14. If the sum of an A.P is given by (3n 2 +5n),find the common difference.(6).
15. Find the sum of all 3-digit natural numbers which are multiples of 11.(445550).
16. Sum of first 14 terms of an A.P is 1505 and its first term is 10,find its 25 th term.
(130).
17. A man arranges to pay off a debt of Rs.36000 by 40 monthly instalments which
forms an
A.P,When 30 of the instalments are paid,he failed to continue leaving one-third of the
debt
unpaid.Find the value of first instalment.(510)
18. A man saved Rs.33000 in 10 months.In each month after the first,he saved Rs 100
more than
he did in the previous month.How uch did he saved in the first month?(2850)
19. Find the sum of first 1000 even natural numbers divisible by 5.(50500).
20. If ,a,2 are in A.P,find the value of a.()
PRACTICE SUMS: CHAPTER 7:COORDINATE GEOMETRY
1. If the coordinates of the midpoints of a triangle are (1,2),(0,-1) and (2,-1),find the
coordinates of its vertices.(1,-4),(3,2),(-1,2).
2. If A(-2,-1) ,B (a,0),C(4,b) and D(1,2) are the vertices of a parallelogram,find the
value
of a and b.(a=1,b=3)
3. Determine the ratio in which the point P(m,6) divides the join of A(-4,3)
B(2,8).Also
find the value of m.(3:2,m=)
4. Find the third vertex of the triangle if two of its vertices are (-3,1) and (0,-2) and
the
centroid is at the origin.(3,1)
5. If Q(0,1) is equidistant from P(5-3) and R(x,6),find the value of x.Also find the
distance
QR and PR(x=-4,4,QR=PR=,9)
6. Prove that (a,0),(0,b) and (1,1) are collinear if + =1
7. The four vertices of a quadrilateral are (1,2),(-5,6),(7,-4) and (k,-2) taken in order,if
the
area of the quadrilateral is 0.Find the value of k.(k=3)
8. Show that (a,a),(-a,-a) and ,) are the vertices of an equilateral triangle ,find its area.
(-2a 2
sq units)
9. If A(5,2),B(2,-2),C(-2,t) are the vertices of a right angled triangle with
<B=90,find the
value of t.(t=1)
10. In what ratio does the line x-y-2=0 divides the line segment joining the points
A(3,-1)
and B(8,9).(2:3).
11. If (2,p) is the midpoint of line segment joining the point A(6,-5) and B (-
2,11).Find the
value of p.(p=3)
12. The line segment joining A(-2,9) and B(6,3) is the diameter of a circle with centre
C.Find the coordinates of C.(2,6)