Advertisements
Advertisements
प्रश्न
Find the value of y for which the distance between the points A (3, −1) and B (11, y) is 10 units.
Advertisements
उत्तर
The given points are A (3, −1) and B (11, y).
It is given that AB = 10 units.
`∴ sqrt((11-3)^2+[y-(-1)]^2=10)`
`rArr sqrt(64+(y+1)^2)=100`
`rArr 64+(y+1)^2=100`
`rArr (y+1)^2=100-64=36`
`rArr y+1=+-6`
`rArr y+1=6` or `y+1=-6`
`rArry=6-1=5` or `y=-6-1=-7`
Thus, the value of y is 5 or −7
APPEARS IN
संबंधित प्रश्न
If the point P(x, y) is equidistant from the points A(a + b, b – a) and B(a – b, a + b). Prove that bx = ay.
Prove that the points (–3, 0), (1, –3) and (4, 1) are the vertices of an isosceles right angled triangle. Find the area of this triangle
Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2.
Determine if the points (1, 5), (2, 3) and (−2, −11) are collinear.
If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k?
Using the distance formula, show that the given points are collinear:
(-1, -1), (2, 3) and (8, 11)
Determine whether the points are collinear.
L(–2, 3), M(1, –3), N(5, 4)
Find the coordinate of O , the centre of a circle passing through A (8 , 12) , B (11 , 3), and C (0 , 14). Also , find its radius.
A point A is at a distance of `sqrt(10)` unit from the point (4, 3). Find the co-ordinates of point A, if its ordinate is twice its abscissa.
Seg OA is the radius of a circle with centre O. The coordinates of point A is (0, 2) then decide whether the point B(1, 2) is on the circle?
