Q.2 A) Choose the correct alternative and rewrite the statement. 4
1. What is value of x , if
=64
a) 6 b) 3 c)2 d)1
2. The centroid divides the median in the ratio ------
a) 2:1 b)1:3 c)3:1 d)1:4
3. The factor of
-2p-35 are ----
a) (P-7) (p-5)
b) (p+7) (p+4)
c) (p+7) (p-4)
d) (p-7) (p+5)
4. What is the Discount at 15% on marked Price Rupees 500
a) 75 b)15 c) 150 d) 425
B) Solve any 6 out of 7 sub Question 6
1. If m n and when m = 154, n = 7. Find the value of m, when n = 14
2. Expand.
3. Factorize.
18
4. Find the cube roots of the 8000
5. If marked price = ₹1700, selling price = ₹1540 then find the discount.
6. Write the rational numbers
in decimal form.
7. In the adjoining figure, if line a || line b and line Ɩ is a transversal then find
x.
Q.3) Solve any 5 out of 7 Sub Question 10
1. Factorise .
2. Draw a rectangle ABCD such that l(AB) = 6.0 cm and l(BC) = 4.5 cm.
3. Draw a line l . Take a point A outside the line. Through point A draw a line
Answers
Answered by
3
Answer:
Given G is centroid,
AD,BE,CF are median.
To Prove,
GD
AG
=
GE
BG
=
GF
CG
=
1
2
Construction : Produce AD to K such that AG=GK, join BK and CK
Proof : In △ABK,
F and G are mid points of AB and AK respectively
So, FG∥BK [by the mid point therom]
Hence we can say that GC∥BK . (A)
In △AKC
Similarly, BG∥KC (B)
By (A) and (B)
BGCK is a parallelogram
In a parallelogram, diagonals bisect each other
So, GD=DK--(C)
AG=GK [By construction]
AG=GD+DK
So, AG=2GD [By (C)]
⇒
GD
AG
=
1
2
Thus, the centroid of the triangle divides each of its median in the ratio 2:1.
Answered by
1
Answer:
Step-by-step explanation:
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