Question 10
Question: Given O(0,0), P(1,2), S(-3,0). P divides OQ in the ratio 2:3 and OPRS is a parallelogram. Find [3 Mark] (i) the co-ordinates of Q. (ii) the co-ordinates of R and (iii) the ratio in which RQ is divided by the y-axis. Answer: (i) Let the co-ordina..
Question: Given O(0,0), P(1,2), S(-3,0). P divides OQ in the ratio 2:3 and OPRS is a parallelogram. Find [3 Mark] (i) the co-ordinates of Q. (ii) the co-ordinates of R and (iii) the ratio in which RQ is divided by the y-axis. Answer: (i) Let the co-ordina..Question 10
Question: One of the vertices of a square is (3, 3). If two of its sides are along the X-axis and the Y-axis respectively. What are the coordinates of the vertices of the square? Answer: Let OABC be the square formed. The coordinates of the vertices of the square a..
Question: One of the vertices of a square is (3, 3). If two of its sides are along the X-axis and the Y-axis respectively. What are the coordinates of the vertices of the square? Answer: Let OABC be the square formed. The coordinates of the vertices of the square a..Question 10
Question: ABC is a triangle with vertices A(a, 5), B(6, -2) and C(-7, b). If (4, 2) are the Coordinates of its centroid, find a and b. [3 Mark] Answer: Centroid is a point where all the median intersect. Median is line joining the vertex to the mid point of opposite side...
Question: ABC is a triangle with vertices A(a, 5), B(6, -2) and C(-7, b). If (4, 2) are the Coordinates of its centroid, find a and b. [3 Mark] Answer: Centroid is a point where all the median intersect. Median is line joining the vertex to the mid point of opposite side...Question 6
= P (4, 5) Hence the Coordinates of A(8, 0), B(0, 10..
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Points are (-7,-3) and (6,10). Slope is Angle is..
Points are (-7,-3) and (6,10). Slope is Angle is..Question 1
Question: Find the centroid of the triangle whose sides are x + y - 1 = 0, x - 3y + 3 = 0 and x - y - 1 = 0. Answer: Let AB represent the side x + y - 1 = 0 ...(i) Let BC represent the side x - 3y + 3 = 0 ... (ii) Let CA represent the side x - y - 1 = 0 ... (iii) Solving (i) and (ii) fo..
Question: Find the centroid of the triangle whose sides are x + y - 1 = 0, x - 3y + 3 = 0 and x - y - 1 = 0. Answer: Let AB represent the side x + y - 1 = 0 ...(i) Let BC represent the side x - 3y + 3 = 0 ... (ii) Let CA represent the side x - y - 1 = 0 ... (iii) Solving (i) and (ii) fo..Question Answers on Geometric concepts
Question 1 - Question: Find the centroid of the triangle whose sides are x + y - 1 = 0, x - 3y + 3 = 0 and x - y - 1 = 0. Answer: Let AB represent the side x + y - 1 = 0 ...(i) Let BC represent the side x - 3y + 3 = 0 ... (ii) Let CA represent the side x - y - 1 = 0 ... (iii) Solving (i) and (ii) f..
Question 1 - Question: Find the centroid of the triangle whose sides are x + y - 1 = 0, x - 3y + 3 = 0 and x - y - 1 = 0. Answer: Let AB represent the side x + y - 1 = 0 ...(i) Let BC represent the side x - 3y + 3 = 0 ... (ii) Let CA represent the side x - y - 1 = 0 ... (iii) Solving (i) and (ii) f..Question 2
Question: Show that the line segment joining the points (-5,8) and (10,-4) is trisected by co- ordinate axes. [3 Mark] Answer: Let P and Q be the two points which divide AB in the ratio 1:2 and 2:1 respectively. The co-ordinates of P are given by ..
Question: Show that the line segment joining the points (-5,8) and (10,-4) is trisected by co- ordinate axes. [3 Mark] Answer: Let P and Q be the two points which divide AB in the ratio 1:2 and 2:1 respectively. The co-ordinates of P are given by ..Cartesion System - Test Questions-iii
Question 1 - Question: Points A, B, C and D divides the line segment joining the points (5,-10) and the origin in five equal parts. Find the co-ordinates of A, B, C and D. [5 Mark] Answer: In the figure, D divides PQ in the ratio 1:..
Question 1 - Question: Points A, B, C and D divides the line segment joining the points (5,-10) and the origin in five equal parts. Find the co-ordinates of A, B, C and D. [5 Mark] Answer: In the figure, D divides PQ in the ratio 1:..Question 9
. AC 2 = 10 2 + 2 2 = 104 sq. units AB 2 + BC 2 = 52 + 52 = 104 sq. units AC 2 = 104 sq. units Hence AB 2 + BC 2 = AC 2 If ABCD is a square, then diagonals bisect each other at right angles. O is the mid point of..
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