Question

14x2=8)
Answer any or Scores
Questions from 1 to 4 carries 2 scores each)
1. The coordinates of the end points of the diameter of a circle are (1,2)
and 19,6)
(a) Write the coordinates of the centre of the circle
(b) What is the radius of the circler
2. Write the polynomial as the product of two first degree
polynomials
The base perimeter of a cone is om and its siant height is 5cm .
(a) What is its base radius?
(b) Find its height
4. (3.4) and (5,8) are two points on a line
(a) What is the slope of this line?
(b) Write the coordinates of any other point on this line.
(Questions from 5 to 8 carries 3 scores euch)
14x3=12)
5 A cone is made by rolling up a sector of radius 10cm and central
angle 60
(a) What is the slant height of the cone?
(b) Find the radius of the cone​

Answer 1

Hence,the coordinates of B are (-2, -5).

Step-by-step explanation:

Let AB be a diameter of the circle having its centre at C(1, -3) such that the coordinates of one end A are (4, -1).

Let the coordinates of B  be (x,y).

Since C is the mid-point of AB. Therefore,the coordinates of C are(2x+4,2y−1).

But, the coordinates of C are given to be (1,-3).

∴2x+4=1and2y−1=−3

⇒x+4=2andy−1=−6

⇒x=−2andy=−5

Hence,the coordinates of B are (-2, -5).