2023-07-14 | The vertices of the triangle \( \mathrm{PQR} \) are \( \mathrm{P}(3,0) \), \( \mathrm{Q}(0,6) \)... |
2023-07-14 | Find the area of the region formed by \( 3|x|+2|y|=6 \) (in sq. units). |
2023-07-14 | Find four times the area of a triangle formed by the lines \( 3 \mathrm{x}-\mathrm{y}-9=0,6 \mat... |
2023-07-14 | Find the distance between the points \( (3 \mathrm{~m}+3,5 \mathrm{~m}) \) and \( (3 \mathrm{~m}... |
2023-07-14 | Find the length of the longest side of the triangle formed by the line \( 9 \mathrm{x}+12 \mathr... |
2023-07-14 | If the coordinates of two points \( \mathrm{P} \) and \( \mathrm{Q} \) are \( (3,4) \) and \( (5... |
2023-07-14 | If the coordinates of the mid-points of the sides of a triangle are \( (1,2)(0,-1) \) and \( (2,... |
2023-07-14 | The coordinates of \( \mathrm{P}, \mathrm{Q}, \mathrm{R} \) are \( (6,3),(-3,5) \) and \( (4,-2)... |
2023-07-14 | The line segment \( \mathrm{PQ} \) joining the point \( \mathrm{P}(3,-4) \) and \( \mathrm{Q}(1,... |
2023-07-14 | If \( \mathrm{L}, \mathrm{M} \) and \( \mathrm{N} \) are the mid-points of sides \( \mathrm{QR},... |
2023-07-14 | Find the third vertex of an equilateral triangle, if two of its vertices are \( (0,0) \) and \( ... |
2023-07-14 | The mid-point of the straight line joining the points \( A(-1,3) \) and \( B(4,-2) \) is \( P(a,... |
2023-07-14 | If the points \( (\mathrm{a}, 0),(0, \mathrm{~b}) \) and \( (1,-1) \) are collinear, then find t... |
2023-07-14 | If the mid point of the line joining \( \mathrm{A}(3,4) \) and \( \mathrm{B}(\mathrm{k}, 7) \) i... |
2023-07-14 | Find the area of the quadrilateral PQRS whose vertices are respectively \( \mathrm{P}(1,1), \mat... |
2023-07-14 | If a circle passes through the points \( (0,0),(-2,1) \) and \( (-3,2) \), find the coordinates ... |
2023-07-14 | If \( \mathrm{P}(4,-6), \mathrm{Q}(3,-2) \) and \( \mathrm{R}(5,2) \) are the vertices of \( \tr... |
2023-07-14 | Find the coordinates of the circumcentre of the triangle whose vertices are \( (8,6),(8,-2) \) a... |
2023-07-14 | Prove that \( (4,-1),(6,0),(7,2) \) and \( (5,1) \) are the vertices of a rhombus. Is it a square? |
2023-07-14 | For what value of \( \mathrm{k} \) are the points \( (\mathrm{k}, 2-2 \mathrm{k}) \) \( (-\mathr... |
2023-07-14 | If three points \( (0,0),(3, \sqrt{3}) \) and \( (3, \lambda) \) form an equilateral triangle, t... |