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Two consecutive sides of a parallelgrm are 4x+5y=0 and 7x+2y=0. If the eqn of one of the diagonals is 11x+7y=9 find eqn of other diagonal.

Two consecutive sides of a parallelgrm are 4x+5y=0 and 7x+2y=0. If the eqn of one of the diagonals is 11x+7y=9 find eqn of other diagonal.

Grade:11

7 Answers

Ravi
askIITians Faculty 69 Points
6 years ago
Solve the 2 side eqns to get the point of intersection. Check if this point lies on the diagonals whose eqn is given. If yes, then this diagonal emerges from the point if intersection. If no, then the diagonal does not emerge from the point of intersection of the 2 sides. As it is a parallelogram, the two diagonals shall bisect each other. You can alternatively use the distance formula and the mid point formula to find the vertices and then find the eqn of the diagonal.
Ravi
askIITians Faculty 69 Points
6 years ago
Solve the 2 side eqns to get the point of intersection. Check if this point lies on the diagonals whose eqn is given. If yes, then this diagonal emerges from the point if intersection. If no, then the diagonal does not emerge from the point of intersection of the 2 sides. As it is a parallelogram, the two diagonals shall bisect each other. You can alternatively use the distance formula and the mid point formula to find the vertices and then find the eqn of the diagonal.
Ravi
askIITians Faculty 69 Points
6 years ago
Solve the 2 side eqns to get the point of intersection. Check if this point lies on the diagonals whose eqn is given. If yes, then this diagonal emerges from the point if intersection. If no, then the diagonal does not emerge from the point of intersection of the 2 sides. As it is a parallelogram, the two diagonals shall bisect each other. You can alternatively use the distance formula and the mid point formula to find the vertices and then find the eqn of the diagonal.
Ravi
askIITians Faculty 69 Points
6 years ago
Solve the 2 side eqns to get the point of intersection. Check if this point lies on the diagonals whose eqn is given. If yes, then this diagonal emerges from the point if intersection. If no, then the diagonal does not emerge from the point of intersection of the 2 sides. As it is a parallelogram, the two diagonals shall bisect each other. You can alternatively use the distance formula and the mid point formula to find the vertices and then find the eqn of the diagonal.
Ravi
askIITians Faculty 69 Points
6 years ago
Solve the 2 side eqns to get the point of intersection. Check if this point lies on the diagonals whose eqn is given. If yes, then this diagonal emerges from the point if intersection. If no, then the diagonal does not emerge from the point of intersection of the 2 sides. As it is a parallelogram, the two diagonals shall bisect each other. You can alternatively use the distance formula and the mid point formula to find the vertices and then find the eqn of the diagonal.
Ravi
askIITians Faculty 69 Points
6 years ago
Solve the 2 side eqns to get the point of intersection. Check if this point lies on the diagonals whose eqn is given. If yes, then this diagonal emerges from the point if intersection. If no, then the diagonal does not emerge from the point of intersection of the 2 sides. As it is a parallelogram, the two diagonals shall bisect each other. You can alternatively use the distance formula and the mid point formula to find the vertices and then find the eqn of the diagonal.
Ravi
askIITians Faculty 69 Points
6 years ago
Solve the 2 side eqns to get the point of intersection. Check if this point lies on the diagonals whose eqn is given. If yes, then this diagonal emerges from the point if intersection. If no, then the diagonal does not emerge from the point of intersection of the 2 sides. As it is a parallelogram, the two diagonals shall bisect each other. You can alternatively use the distance formula and the mid point formula to find the vertices and then find the eqn of the diagonal.

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