coordinate geometry

Q) Show that the points (- 2, 3), (8, 3) and (6, 7) are the vertices of a right-angled triangle. Ans: Let’s plot these points on graph, we get: Step 1: Now for a Δ ABC to be an right angled triangle, required condition is: AB2 = AC2 + BC2 Step 2: Let’s calculate the […]

Q) Solve the pair of equations x = 5 and y = 7 graphically. Ans:   Here is the answer to this question: For a detailed answer to this question, please refer to the following question and its solution: (click on the link on the question) Solve the pair of equations x = 3 and y

Q) The centre of a circle is (2a, a-7). Find the values of ‘a’ if the circle passes through the point (11,-9). Radius of the circle is 5√2cm. Ans:  Let’s find out radius of the circle by co-ordinate method. Therefore, (2a – 11)2 + (a -7 + 9)2 = (5√2 )2 or (4a2 + 121

Q) Using graphical method, find whether following system of linear equations x = 0 and y = – 3 is consistent or not. Ans:  Draw graph for y = – 3 and x = 0. As y = – 3 is intersecting x = 0 at (0,-3); So, system of equations is consistent.

Q)  If (-5,3) coordinates and (5,3) are two vertices of an equilateral triangle, then find of the third vertex, given that origin lies inside the triangle. (Take √3 = 1.7) Ans:   VIDEO SOLUTION STEP BY STEP SOLUTION Let the third vertex be (x, y)Hence, 3 vertex of the triangle will be A (-5,3)         B (5,3)         C

Q) Solve the pair of equations x = 3 and y = – 4 graphically.  Ans: VIDEO SOLUTION STEP BY STEP SOLUTION Step 1: Lets plot both the equations on the graph. Step 2: Increase till these lines intersect each other. We get the intersection point as (3,-4) Since the lines are intersecting at (3,