Question:medium

Two diagonal sides of a parallelogram \(ABCD\) are \[ x-y+1=0 \] and \[ 3x-y=9. \] If one of its diagonals is \[ 7x-5y+3=0, \] then the equation of the other diagonal is

Show Hint

The diagonals of a parallelogram bisect each other. Find the midpoint of the known diagonal first, then determine the equation of the other diagonal passing through the same midpoint.

Updated On: Jul 18, 2026

\(x-3y+13=0\)
\(5x+7y=13\)
\(x+y-2=0\)
\(x+3y=4\)

Show Solution

The Correct Option is A

Solution and Explanation

Was this answer helpful?

Questions Asked in TS EAMCET exam

If \( f(x)=\tan \left(\frac{\pi}{\sqrt{x+1}+4}\right) \) is a real valued function then the range of \( f \) is

TS EAMCET - 2025
Algebra

View Solution

The range of the real valued function \( f(x)=\sin ^{-1}\left(\sqrt{x^{2}+x+1}\right) \) is

TS EAMCET - 2025
Algebra

View Solution

1+(1+3)+(1+3+5)+(1+3+5+7)+... to 10 terms =

TS EAMCET - 2025
Algebra

View Solution

If the augmented matrix corresponding to the system of equations \( x+y-z=1 \), \( 2x+4y-z=0 \) and \( 3x+4y+5z=18 \) is transformed to \( \begin{bmatrix} 1 & a & 0 & -1 \\ 0 & 2 & 1 & b \\ 0 & 0 & c & 32 \end{bmatrix} \), then

TS EAMCET - 2025
Algebra

View Solution

Two diagonal sides of a parallelogram \(ABCD\) are \[ x-y+1=0 \] and \[ 3x-y=9. \] If one of its diagonals is \[ 7x-5y+3=0, \] then the equation of the other diagonal is

Show Hint

The Correct Option is A

Solution and Explanation

Top Questions on Coordinate Geometry

Questions Asked in TS EAMCET exam