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 […]
coordinate geometry
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
Q) A garden is in the shape of a square. The gardener grew saplings of Ashoka tree on the boundary of the garden at the distance of 1 m from each other. He wants to decorate the garden with rose plants. He chose a triangular region inside the garden to grow rose plants. In the above
A garden is in the shape of a square. The gardener grew saplings of Ashoka tree Read More »
Q)Â Ryan, from a very young age, was fascinated by the twinkling of stars and the vastness of space. He always dreamt of becoming an astronaut one day. So he started to sketch his own rocket designs on the graph sheet. One such design is given below : Based on the above, answer the following questions
Q) Find the point(s) on the x-axis which is at a distance of √41 units from the point (8, -5). Ans: Let the point be A and coordinates of this point be (x, y) Since any point on X-axis will have y = 0, Hence, the coordinates of the point A will be (X, 0)
Q) Show that the points A(-5,6), B(3, 0) and C( 9, 8) are the vertices of an isosceles triangle. Ans: For a triangle to be an isosceles triangle, its any 2 sides should be equal. Let’s start by calculating length of its sides: We know that the distance between two points P (X1, Y1) and
Q) Solve the following system of linear equations graphically: x + 2 y = 3, 2 x – 3 y + 8 = 0 Ans: Step 1: To plot the equations, let’s first find out the coordinates of points lying on these lines: For line: x + 2 y = 3,, we calculate coordinates of
Solve the following system of linear equations graphically: x+2y = 3, 2x-3y+8 = 0 Read More »