Q) Find the ratio in which the point (−3, k) divides the join of A (−5, −4) and B (−2, 3). Also, find the value of k. Ans: Let A (- 5,- 4), B (- 2,3), P (- 3, k). Step 1: Using section formula for x coordinate: ∴ m:n = 2: 1 Let’s consider, […]
coordinate geometry
Q)Â P is a point on the x- axis which divides the line joining A (- 6, 2) and B (9, – 4). Find: (a) the ratio in which P divides the line segment AB. (b) the coordinates of the point P. (c) equation of a line parallel to AB and passing through (-3, -2). ICSE
P is a point on the x- axis which divides the line joining A (- 6, 2) and B (9, – 4). Read More »
Q) On a particular day, Vidhi and Unnati couldn’t decide on who would get to drive the car. They had one coin each and flipped their coin exactly three times. The following was agreed upon:1. If Vidhi gets two heads in a row, she would drive the car2. If Unnati gets a head immediately followed
Q) A group of class X students goes to picnic during winter holidays. The position of three friends Aman, Kirti and Chahat are shown by the points P, Q and R. i. Find the distance between P and R.ii. Is Q, the midpoint of PR? Justify by finding midpoint of PR.iii. Find the point on
Q) Solve the following system of linear equations graphically: 2x- y – 2= 0 – 4 x + y + 4 = 0 Also, find the absolute difference between the ordinates of the points where given lines cut y – axis. PYQ: 28 – CBSE 2025 – Code 30 – Series 5 – Set 1
Q) Find a relation between x and y such that the point P(x, y) is equidistant from the points A (3, 5) and B (7, 1). Hence, write the coordinates of the points on x-axis and y-axis which are equidistant from points A and B. PYQ: 29 – CBSE 2025 – Code 30 – Series
Q) The coordinates of the end points of the line segment AB are A(-2, -2) and B(2, -4). P is the point on AB such that BP = AB. Find the coordinates of point P.   PYQ: Q 22 – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: Step 1: Given
Q) A line segment joining P (2,- 3) and Q (0, – 1) is cut by the x-axis at the point R. A line AB cuts the y axis at T (0, 6) and is perpendicular to PQ at S. Find the: (a) equation of line PQ (b) equation of line AB (c) coordinates of
A line segment joining P(2,- 3) and Q (0, -1) is cut by the x-axis at the point R. Read More »
Q) Find the coordinates of the centroid P of the Δ ABC, whose vertices are A(-1, 3), B(3, -1) and C(0, 0). Hence, find the equation of a line passing through P and parallel to AB. ICSE Specimen Question Paper (SQP)2025 Ans: (a) Coordinates of the Centroid: Given that two vertices of a triangle are
Q) Reena has a 10 m × 10 m kitchen garden attached to her kitchen. She divides it into a 10 × 10 grid and wants to grow some vegetables and herbs used in the kitchen. She puts some soil and manure in that and sow a green chilly plant at A, a coriander plant at