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Q) Diagonals AC and BD of square ABCD intersect at P. Coordinates of points B and D are (9, – 2) and (1, 6) respectively. (i) Find the co-ordinates of point P. (ii) Find the length of the side of the square. (Q 25A – 30/3/3 – CBSE 2026 Question Paper) Ans: (i) Co-ordinates of […]
coordinate geometry
Q) Find the coordinates of a point on the line x + y = 5 which is equidistant from (6, 4) and (5, 2). (Q 25B – 30/3/3 – CBSE 2026 Question Paper) Ans: Let the coordinates of the this point be (x, y) Step 1: Since this point lies on equation, it will satisfy
Q) Determine the ratio in which the line 3x + y – 9 = 0 divides the line segment joining the points (1, 3) and (2, 5). Find the point of intersection. (Q 28 – 30/3/3 – CBSE 2026 Question Paper) Ans: (i) calculating for division ratio Step 1: Let’s consider the given points are
Q) Determine graphically, the coordinates of vertices of a triangle whose equations are 2x − 3y + 6 = 0; 2x + 3y − 18 = 0 and x = 0. Also, find the area of this triangle (Q32 – 30/1/1 – CBSE 2026 Question Paper) Ans: Step 1: We have following equations of the
Q) Do the points P (1, 0), Q (-5, 0) and R (-2, 5) form a triangle ? If so, name the type of triangle formed. (Q21 – 30/1/3 – CBSE 2026 Question Paper) Ans:Â Step 1: Let’s first understand the question: By Triangle Inequality Property, We know that to form a triangle, the sum
Q) Find the ratio in which the x-axis divides the line segment joining the points(− 6, 5) and (− 4, − 1). Also, find the point of intersection. (Q31 – 30/1/3 – CBSE 2026 Question Paper) Ans: Let’s consider the points are given as: P (- 6, 5) and Q (- 4, – 1) (i)
Q) The three vertices of a rhombus PQRS are P (2, 3), Q (6, 5) and R (- 2, 1). Find the coordinates of the fourth vertex S and coordinates of the point where both the diagonals PR and QS intersect. (Q 29 – 30/2/3 – CBSE 2026 Question Paper) Ans: Let’s consider the coordinates
Q) If the distance between the points (4, p) and (1, 0) is 5, what is the value of p? (Q 21 – 30/2/3 – CBSE 2026 Question Paper) Ans: Step 1: We know that the distance between the two points (x1,y1) and (x2, y2) is given by: Step 2: Here, we have points (4,
If the distance between the points (4, p) and (1, 0) is 5, what is the value of p? Read More »
Q)Â If the points A(4, 5) B(m, 6) C(4,3) and D(1, n) taken in this order are the vertices of a parallelogram ABCD, then find the values of m and n. (Q 25 – 30/2/2 – CBSE 2026 Question Paper) Ans:Â We know that the in a parallelogram, the diagonals bisect each other. It means
Q)Â Find the coordinates of the points of trisection of the line segment joining the points A(- 1, 4) and B(- 3, – 2) (Q 30 – 30/2/2 – CBSE 2026 Question Paper) Ans:Â Step 1: Since, A Trisection means dividing a line segment into three equal parts. It means, if AB is a line,