Advertisements
Advertisements
प्रश्न
Write the equations of the x-axis and y-axis.
उत्तर
On x-axis, y = 0
Thus equation of x-axis is y = 0
On y – axis, x = 0
Thus equation of y-axis is x = 0
APPEARS IN
संबंधित प्रश्न
The three vertices of a parallelogram are (3, 4) (3, 8) and (9, 8). Find the fourth vertex.
If two opposite vertices of a square are (5, 4) and (1, −6), find the coordinates of its remaining two vertices.
Find the coordinates of the circumcentre of the triangle whose vertices are (3, 0), (-1, -6) and (4, -1). Also, find its circumradius.
A (3, 2) and B (−2, 1) are two vertices of a triangle ABC whose centroid G has the coordinates `(5/3,-1/3)`Find the coordinates of the third vertex C of the triangle.
Name the quadrilateral formed, if any, by the following points, and given reasons for your answers:
A(-3, 5) B(3, 1), C (0, 3), D(-1, -4)
Prove that the points (4, 5) (7, 6), (6, 3) (3, 2) are the vertices of a parallelogram. Is it a rectangle.
Show that the following points are the vertices of a square:
A (0,-2), B(3,1), C(0,4) and D(-3,1)
If the points A(4,3) and B( x,5) lie on the circle with center O(2,3 ) find the value of x .
If the points A (2,3), B (4,k ) and C (6,-3) are collinear, find the value of k.
Points (−4, 0) and (7, 0) lie
ABCD is a parallelogram with vertices \[A ( x_1 , y_1 ), B \left( x_2 , y_2 \right), C ( x_3 , y_3 )\] . Find the coordinates of the fourth vertex D in terms of \[x_1 , x_2 , x_3 , y_1 , y_2 \text{ and } y_3\]
If three points (x1, y1) (x2, y2), (x3, y3) lie on the same line, prove that \[\frac{y_2 - y_3}{x_2 x_3} + \frac{y_3 - y_1}{x_3 x_1} + \frac{y_1 - y_2}{x_1 x_2} = 0\]
If points Q and reflections of point P (−3, 4) in X and Y axes respectively, what is QR?
The distance between the points (cos θ, 0) and (sin θ − cos θ) is
The distance between the points (a cos θ + b sin θ, 0) and (0, a sin θ − b cos θ) is
If three points (0, 0), \[\left( 3, \sqrt{3} \right)\] and (3, λ) form an equilateral triangle, then λ =
If points A (5, p) B (1, 5), C (2, 1) and D (6, 2) form a square ABCD, then p =
If the line segment joining the points (3, −4), and (1, 2) is trisected at points P (a, −2) and Q \[\left( \frac{5}{3}, b \right)\] , Then,
The point whose ordinate is 4 and which lies on y-axis is ______.
Assertion (A): Mid-point of a line segment divides the line segment in the ratio 1 : 1
Reason (R): The ratio in which the point (−3, k) divides the line segment joining the points (− 5, 4) and (− 2, 3) is 1 : 2.
