Advertisements
Advertisements
प्रश्न
What is the area of the triangle formed by the points O (0, 0), A (6, 0) and B (0, 4)?
उत्तर
The given triangle ΔOAB is a right angled triangle, right angled at O. the co-ordinates of the vertices are O (0, 0) A (6, 0) and B (0, 4).
So,
Altitude is 6 units and base is 4 units.
Therefore,
ar ( ΔOAB ) = `1/2` (Base )( Altitude )
`= 1/2 `( 4 ) ( 6 ) sq . units
= 12 sq . units
APPEARS IN
संबंधित प्रश्न
Find the centre of the circle passing through (5, -8), (2, -9) and (2, 1).
Prove that the points (3, -2), (4, 0), (6, -3) and (5, -5) are the vertices of a parallelogram.
The points A(2, 0), B(9, 1) C(11, 6) and D(4, 4) are the vertices of a quadrilateral ABCD. Determine whether ABCD is a rhombus or not.
If p(x , y) is point equidistant from the points A(6, -1) and B(2,3) A , show that x – y = 3
Point A lies on the line segment PQ joining P(6, -6) and Q(-4, -1) in such a way that `(PA)/( PQ)=2/5` . If that point A also lies on the line 3x + k( y + 1 ) = 0, find the value of k.
Points P, Q, and R in that order are dividing line segment joining A (1,6) and B(5, -2) in four equal parts. Find the coordinates of P, Q and R.
If (2, p) is the midpoint of the line segment joining the points A(6, -5) and B(-2,11) find the value of p.
The line segment joining A( 2,9) and B(6,3) is a diameter of a circle with center C. Find the coordinates of C
Find the ratio in which the pint (-3, k) divide the join of A(-5, -4) and B(-2, 3),Also, find the value of k.
Find the area of the triangle formed by joining the midpoints of the sides of the triangle whose vertices are A(2,1) B(4,3) and C(2,5)
Prove hat the points A (2, 3) B(−2,2) C(−1,−2), and D(3, −1) are the vertices of a square ABCD.
If the distance between the points (4, p) and (1, 0) is 5, then p =
The coordinates of the circumcentre of the triangle formed by the points O (0, 0), A (a, 0 and B (0, b) are
The ratio in which the line segment joining P (x1, y1) and Q (x2, y2) is divided by x-axis is
If the sum of X-coordinates of the vertices of a triangle is 12 and the sum of Y-coordinates is 9, then the coordinates of centroid are ______
The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio ______.
Point P(– 4, 2) lies on the line segment joining the points A(– 4, 6) and B(– 4, – 6).
Point (–10, 0) lies ______.
Find the coordinates of the point which lies on x and y axes both.