The fourth vertex of a parallelogram ABCD, where A = (3, -2), B = (7, 6) and C = (3, 8) is :
D = (1, 0)
D = (-1, 0)
D = (0, 1)
D = (0, -1)

Question

The fourth vertex of a parallelogram ABCD, where A = (3, -2), B = (7, 6) and C = (3, 8) is : 1. D = (1, 0) 2. D = (-1, 0) 3. D = (0, 1) 4. D = (0, -1)

KnowledgeBoat · Accepted Answer

Let co-ordinates of D be (x, y). We know that, Diagonals of parallelogram bisect each other. ∴ Mid-point of AC = Mid-point of BD. D = (x, y) = (-1, 0). Hence, Option 2 is the correct option.

Mathematics

The fourth vertex of a parallelogram ABCD, where A = (3, -2), B = (7, 6) and C = (3, 8) is :
D = (1, 0)
D = (-1, 0)
D = (0, 1)
D = (0, -1)

Section Formula

Related Questions

The total invoice value of a toy, in intra-state transaction is ₹ 5,600. Rate of GST is 12%. Then SGST for this toy is :
₹ 300
₹ 600
₹ Nil
₹ 313.60

For any real value of k, the roots of the quadratic equation x² + kx - 9 = 0 are :
real and equal
imaginary
real and unequal
none of these

Mathematics

The fourth vertex of a parallelogram ABCD, where A = (3, -2), B = (7, 6) and C = (3, 8) is :D = (1, 0)D = (-1, 0)D = (0, 1)D = (0, -1)

Section Formula

Related Questions

The total invoice value of a toy, in intra-state transaction is ₹ 5,600. Rate of GST is 12%. Then SGST for this toy is :₹ 300₹ 600₹ Nil₹ 313.60

For any real value of k, the roots of the quadratic equation x2 + kx - 9 = 0 are :real and equalimaginaryreal and unequalnone of these

The fourth vertex of a parallelogram ABCD, where A = (3, -2), B = (7, 6) and C = (3, 8) is :
D = (1, 0)
D = (-1, 0)
D = (0, 1)
D = (0, -1)

The total invoice value of a toy, in intra-state transaction is ₹ 5,600. Rate of GST is 12%. Then SGST for this toy is :
₹ 300
₹ 600
₹ Nil
₹ 313.60

For any real value of k, the roots of the quadratic equation x² + kx - 9 = 0 are :
real and equal
imaginary
real and unequal
none of these