If P(x,y) is a point equidistant from the points A(6,−1) and B(2,3), show that x−y=3.
In ABC, the coordinates of B are (0,0),AB=2,∠ABC=3π, and the middle point of BC has coordinates (2,0)˙ The centroid o the triangle is (21,23) (b) (35,31) (4+33,31) (d) none of these
See Fig. 3.11 and complete the following statements:(i) The abscissa and the ordinate of the point B are _and _ Hence, the coordinates of B are (__,__).(ii) The x–coordinate and the y–coordinate of the point M are _ and _ respectively. Hence, the coordinates of M are (__,__).(iii) The x–coordinate and the y–coordinate of the point L are _ and _ respectively. Hence, the coordinates of L are (__,__).(iv) The .r–coordinate and the y–coordinate of the point S are _ and _ respectively. Hence, the coordinates of S are (__,__).
Statement 1 : The area of the triangle formed by the points A(1000,1002),B(1001,1004),C(1002,1003) is the same as the area formed by the point Aprime(0,0),Bprime(1,2),Cprime(2,1) Statement 2 : The area of the triangle is constant with respect to the translation of axes.
Number of points with integral co-ordinates that lie inside a triangle whose co-ordinates are (0, 0), (0, 21) and (21,0).
If two vertices of a triangle are (1,3) and (4,-1) and the area of triangle is 5 sq. units, then the angle at the third vertex lies in :
Let A=(3,4) and B is a variable point on the lines ∣x∣ =6. IF AB≤4 , then find the number of position of B with integral coordinates.