Advertisements
Advertisements
प्रश्न
Given A = (x + 2, -2) and B (11, 6). Find x if AB = 17.
Advertisements
उत्तर
AB = 17
AB2 = 289
(11 - x - 2)2 + (6 + 2)2 = 289
x2 + 81 - 18x + 64 = 289
x2 - 18x - 144 = 0
x2 - 24x + 6x - 144 = 0
x(x - 24) + 6(x - 24) = 0
(x - 24) (x + 6) = 0
x = 24, -6
APPEARS IN
संबंधित प्रश्न
Show that the points (1, – 1), (5, 2) and (9, 5) are collinear.
Find all possible values of y for which distance between the points is 10 units.
Find the distances between the following point.
A(a, 0), B(0, a)
AB and AC are the two chords of a circle whose radius is r. If p and q are
the distance of chord AB and CD, from the centre respectively and if
AB = 2AC then proove that 4q2 = p2 + 3r2.
Find the distance between the following pairs of point in the coordinate plane :
(4 , 1) and (-4 , 5)
P and Q are two points lying on the x - axis and the y-axis respectively . Find the coordinates of P and Q if the difference between the abscissa of P and the ordinates of Q is 1 and PQ is 5 units.
Calculate the distance between A (7, 3) and B on the x-axis, whose abscissa is 11.
KM is a straight line of 13 units If K has the coordinate (2, 5) and M has the coordinates (x, – 7) find the possible value of x.
Points A(4, 3), B(6, 4), C(5, –6) and D(–3, 5) are the vertices of a parallelogram.
Read the following passage:
|
Alia and Shagun are friends living on the same street in Patel Nagar. Shagun's house is at the intersection of one street with another street on which there is a library. They both study in the same school and that is not far from Shagun's house. Suppose the school is situated at the point O, i.e., the origin, Alia's house is at A. Shagun's house is at B and library is at C. |
Based on the above information, answer the following questions.
- How far is Alia's house from Shagun's house?
- How far is the library from Shagun's house?
- Show that for Shagun, school is farther compared to Alia's house and library.
OR
Show that Alia’s house, shagun’s house and library for an isosceles right triangle.
