solve coordinate geometry

Question: Find the centroid of the triangle whose sides are x + y - 1 = 0, x - 3y + 3 = 0 and x - y - 1 = 0. Answer: Let AB represent the side x + y - 1 = 0 ...(i) Let BC represent the side x - 3y + 3 = 0 ... (ii) Let CA represent the side x - y - 1 = 0 ... (iii) Solving (i) a..

Question 1 - Question: Find the centroid of the triangle whose sides are x + y - 1 = 0, x - 3y + 3 = 0 and x - y - 1 = 0. Answer: Let AB represent the side x + y - 1 = 0 ...(i) Let BC represent the side x - 3y + 3 = 0 ... (ii) Let CA represent the side x - y - 1 = 0 ... (iii) Solving (i) ..

Solving this quadratic equatio..

Squaring both the sides, 100 = y 2 + 6y + 73 Solving the quadrati..

Question 1 - Question: Answer: Line through the origin and perpendicular to x + y - 4 = 0 is x - y = 0 ...(iv) \ The foot of the perpendicular is given by solving (i) and (iv), x = y = 2. (2,2) are the coordinates of the foot of the perpendicular. Line through the origin perpend..

Question: If the two vertices of a triangle are (3,-1) and (-2,3) and its orthocentre is the origin, find the coordinates of the third vertex. Answer: In D ABC, A(3, -1) and B(-2, 3) and the orthocentre is O(0, 0). Let AD and BE be the altitudes through A and B. The third v..

Coordinates - The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initi..

The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initial point)on XX' and meas..

The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single numbe..

Rectangular coordinate system - The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are termed as coordinate ..