Advertisements
Advertisements
प्रश्न
A point P lies on the x-axis and another point Q lies on the y-axis.
If the abscissa of point P is -12 and the ordinate of point Q is -16; calculate the length of line segment PQ.
उत्तर
The co-ordinates of P and Q are (-12, 0) and (0, -16) respectively.
PQ = `sqrt((-12 - 0)^2 + (0 + 16)^2)`
= `sqrt(144 + 256)`
= `sqrt(400)`
= 20
APPEARS IN
संबंधित प्रश्न
If the point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), find p. Also, find the length of AB.
If two vertices of an equilateral triangle be (0, 0), (3, √3 ), find the third vertex
Find the distance between the following pairs of points:
(−5, 7), (−1, 3)
The value of 'a' for which of the following points A(a, 3), B (2, 1) and C(5, a) a collinear. Hence find the equation of the line.
Find the value of a when the distance between the points (3, a) and (4, 1) is `sqrt10`
If the points (2, 1) and (1, -2) are equidistant from the point (x, y), show that x + 3y = 0.
Find the centre of the circle passing through (6, -6), (3, -7) and (3, 3)
Find the distance between the points
P(a sin ∝,a cos ∝ )and Q( acos ∝ ,- asin ∝)
`" Find the distance between the points" A ((-8)/5,2) and B (2/5,2)`
Show that the points A(1, 2), B(1, 6), C(1 + 2`sqrt3`, 4) are vertices of an equilateral triangle.
If the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then ______.
Find the distance between the following point :
(sin θ , cos θ) and (cos θ , - sin θ)
Find the distance between the origin and the point:
(8, -15)
A point P (2, -1) is equidistant from the points (a, 7) and (-3, a). Find a.
Prove that the points P (0, -4), Q (6, 2), R (3, 5) and S (-3, -1) are the vertices of a rectangle PQRS.
Show that the points (a, a), (-a, -a) and `(-asqrt(3), asqrt(3))` are the vertices of an equilateral triangle.
The distance between points P(–1, 1) and Q(5, –7) is ______
The coordinates of the point which is equidistant from the three vertices of the ΔAOB as shown in the figure is ______.
Find the points on the x-axis which are at a distance of `2sqrt(5)` from the point (7, – 4). How many such points are there?
Show that points A(–1, –1), B(0, 1), C(1, 3) are collinear.
