Advertisements
Advertisements
Question
If P is a point on x-axis such that its distance from the origin is 3 units, then the coordinates of a point Q on OY such that OP = OQ, are
Options
(0, 3)
(3, 0)
(0, 0)
(0, −3)
Advertisements
Solution
GIVEN: If P is a point on x axis such that its distance from the origin is 3 units.
TO FIND: The coordinates of a point Q on OY such that OP= OQ.
On x axis y coordinates is 0. Hence the coordinates of point P will be (3, 0) as it is given that the distance from origin is 3 units.
Now then the coordinates of Q on OY such that OP = OQ
On y axis x coordinates is 0. Hence the coordinates of point Q will be (0, 3)
APPEARS IN
RELATED QUESTIONS
Find the points of trisection of the line segment joining the points:
5, −6 and (−7, 5),
If A and B are (1, 4) and (5, 2) respectively, find the coordinates of P when AP/BP = 3/4.
The line joining the points (2, 1) and (5, −8) is trisected at the points P and Q. If point P lies on the line 2x − y + k = 0. Find the value of k.
If the points p (x, y) is point equidistant from the points A (5, 1)and B (–1, 5), Prove that 3x = 2y
The line segment joining the points A(3,−4) and B(1,2) is trisected at the points P(p,−2) and Q `(5/3,q)`. Find the values of p and q.
Find the coordinates of the midpoints of the line segment joining
P(-11,-8) and Q(8,-2)
In what ratio is the line segment joining A(2, -3) and B(5, 6) divide by the x-axis? Also, find the coordinates of the pint of division.
Point P(x, 4) lies on the line segment joining the points A(−5, 8) and B(4, −10). Find the ratio in which point P divides the line segment AB. Also find the value of x.
Find the area of the quadrilateral ABCD, whose vertices are A(−3, −1), B (−2, −4), C(4, − 1) and D (3, 4).
The abscissa and ordinate of the origin are
Find the area of a parallelogram ABCD if three of its vertices are A(2, 4), B(2 + \[\sqrt{3}\] , 5) and C(2, 6).
Find the value(s) of k for which the points (3k − 1, k − 2), (k, k − 7) and (k − 1, −k − 2) are collinear.
If the points A(1, –2), B(2, 3) C(a, 2) and D(– 4, –3) form a parallelogram, find the value of a and height of the parallelogram taking AB as base.
If \[D\left( - \frac{1}{5}, \frac{5}{2} \right), E(7, 3) \text{ and } F\left( \frac{7}{2}, \frac{7}{2} \right)\] are the mid-points of sides of \[∆ ABC\] , find the area of \[∆ ABC\] .
Two vertices of a triangle have coordinates (−8, 7) and (9, 4) . If the centroid of the triangle is at the origin, what are the coordinates of the third vertex?
Find the value of a so that the point (3, a) lies on the line represented by 2x − 3y + 5 = 0
If Points (1, 2) (−5, 6) and (a, −2) are collinear, then a =
If P(2, 4), Q(0, 3), R(3, 6) and S(5, y) are the vertices of a parallelogram PQRS, then the value of y is
In which quadrant, does the abscissa, and ordinate of a point have the same sign?
Co-ordinates of origin are ______.
