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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 […]
coordinate geometry
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
Q)Â The class X students school in krishnagar have been allotted a rectangular plot of land for their gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is triangular grassy lawn in the plot as shown in the figure. The students are to sow seeds
Q) If points (a, 0), (0, b), (1,1) are collinear, then 1/a + 1/b is ? Ans: Â [I have solved the question by two methods. Please choose the method whichever is in line with your syllabus.] Method 1: For points to be collinear, area of triangle formed by the three points is equal to 0.
If points (a, 0), (0, b), (1,1) are collinear, then 1/a + 1/b is ? Read More »
Q) In a classroom, 4 friends are seated at the points A, B , C , and D as shown in Figure. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, Don’t you think ABCD is a square? Chameli disagrees. Using distance formula, find which of them
In a classroom, 4 friends are seated at the points A, B , C , and D as shown in Figure. Read More »
Q) Find the length of the median AD of Δ ABC having vertices A(0, –1), B(2, 1) and C(0, 3). Ans: Let’s plot the points on the graph: Step 1: Let’s understand the layout: If AD is median, it means D lies on line segment BC, and BD = CD Let the coordinates of point D
Q) In what ratio does the X-axis divide the line segment joining the points(2, – 3) and (5, 6)? Also, find the coordinates of the point of intersection. Ans: Let’s draw the diagram to solve: (i) Ratio of division: We know that the value of y-coordinate on X- axis is always 0 It is given