Question

7. If the centroid of triangle formed by
(7,x),(y - 6) and (9,10) is at (6,3) then (x, y) =
a. (5,2) b. (4,5) c. (5,4) d. (-5,-2)
8. The perimeter of a triangle with vertices (0,4) and (0,0) and (3,0) is
a. 7+15
b.5
c. 12
d. 10
9. The value of K for which kithe system of equations x + 2y - 3 = 0 and 5x + ky + 7 =
O has no solution is
a. 6
b. 10
c. 3
d. 1
10. If product of zeros of polynomial f(x) = ax3 - 6x2 + 11x – 6 is 4 then a=
11. Find quadratic polynomial whose the sum of zeroes is 0 and one zero is 3.
12. What is the HCF of the smallest composite number and the smallest prime number
13. The perpendicular distance of A(5,12) from the y-axis is
14. In A ABC, DE || BC find value of x
15. What is the maximum number of parallel tangents a circle can have on a diameter?​

Answer 1

Answer:

7. If the centroid of triangle formed by

(7,x),(y - 6) and (9,10) is at (6,3) then (x, y) =

a. (5,2)

b. (4,5)

c. (5,4)

d. (-5,-2)

8. The perimeter of a triangle with vertices (0,4) and (0,0) and (3,0) is

a. 7+15

b.5

c. 12

d. 10

9. The value of K for which kithe system of equations x + 2y - 3 = 0 and 5x + ky + 7 =

O has no solution is

a. 6

b. 10

c. 3

d. 1

10. If product of zeros of polynomial f(x) = ax3 - 6x2 + 11x – 6 is 4 then a= 3/2

11. Find quadratic polynomial whose the sum of zeroes is 0 and one zero is 3. =x^2+0x-9

Answer 2

Answer:

solved

Step-by-step explanation:

7.

6 = (7+y+9)/3  , y = 2 , 3 = ( x-6+10)/3 , x = 5 , ( x,y) = ( 5,2)  choose ans, a

8.

vertices (0,4) and (0,0) and (3,0)

L1 = 4 , L2 = 3 , L3 = 5 ,  perimeter = 12 ,  choose ans. c

9.

value of k = 10 , choose ans. b

10.

ax3 - 6x2 + 11x – 6=0

x3 - (6/a)x2 + (11/a)x – 6/a=0

let the roots be y,z,t

y +z+t = 6/a

yz + yt + zt = 11/a

yzt = 6/a = 4 , a = 6/4 = 3/2

11.

x²- 9 = 0

12.

the HCF of the smallest composite number = product of its parameters

the HCF of the smallest composite number  = prime number x 1

13.

5

14.

2 tangents