Advertisements
Advertisements
प्रश्न
Find the distance between the points \[\left( - \frac{8}{5}, 2 \right)\] and \[\left( \frac{2}{5}, 2 \right)\] .
Advertisements
उत्तर
We have to find the distance between `A ( - 8/5, 2)" and " B ( 2/5 , 2) `.
In general, the distance between A`(x_1, y_1) " and B "(x_2 , y_2) ` is given by,
`AB = sqrt((x_2 - x_1 )^2 + (y_2 - y_1)^2)`
So,
`AB = sqrt((2/5 + 8/5)^2 + (2-2)^2)`
` = sqrt(4) `
= 2
APPEARS IN
संबंधित प्रश्न
The base PQ of two equilateral triangles PQR and PQR' with side 2a lies along y-axis such that the mid-point of PQ is at the origin. Find the coordinates of the vertices R and R' of the triangles.
Find a point on the x-axis which is equidistant from the points (7, 6) and (−3, 4).
Name the quadrilateral formed, if any, by the following points, and given reasons for your answers:
A(-1,-2) B(1, 0), C (-1, 2), D(-3, 0)
In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point (-5, -21/5)?
The line segment joining the points P(3, 3) and Q(6, -6) is trisected at the points A and B such that Ais nearer to P. If A also lies on the line given by 2x + y + k = 0, find the value of k.
If the points A (a, -11), B (5, b), C (2, 15) and D (1, 1) are the vertices of a parallelogram ABCD, find the values of a and b.
If the coordinates of the mid-points of the sides of a triangle be (3, -2), (-3, 1) and (4, -3), then find the coordinates of its vertices.
If A and B are (1, 4) and (5, 2) respectively, find the coordinates of P when AP/BP = 3/4.
Find the co-ordinates of the point equidistant from three given points A(5,3), B(5, -5) and C(1,- 5).
Find the ratio in which the point (-1, y) lying on the line segment joining points A(-3, 10) and (6, -8) divides it. Also, find the value of y.
The perpendicular distance of the P (4,3) from y-axis is
Write the coordinates of a point on X-axis which is equidistant from the points (−3, 4) and (2, 5).
If P (2, 6) is the mid-point of the line segment joining A(6, 5) and B(4, y), find y.
If P (2, p) is the mid-point of the line segment joining the points A (6, −5) and B (−2, 11). find the value of p.
If the points (k, 2k), (3k, 3k) and (3, 1) are collinear, then k
If (−2, 1) is the centroid of the triangle having its vertices at (x , 0) (5, −2), (−8, y), then x, y satisfy the relation
Abscissa of a point is positive in ______.
Statement A (Assertion): If the coordinates of the mid-points of the sides AB and AC of ∆ABC are D(3, 5) and E(–3, –3) respectively, then BC = 20 units.
Statement R (Reason): The line joining the mid-points of two sides of a triangle is parallel to the third side and equal to half of it.
Ryan, from a very young age, was fascinated by the twinkling of stars and the vastness of space. He always dreamt of becoming an astronaut one day. So, he started to sketch his own rocket designs on the graph sheet. One such design is given below :
Based on the above, answer the following questions:
i. Find the mid-point of the segment joining F and G. (1)
ii. a. What is the distance between the points A and C? (2)
OR
b. Find the coordinates of the points which divides the line segment joining the points A and B in the ratio 1 : 3 internally. (2)
iii. What are the coordinates of the point D? (1)
