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Let ABCD be a parallelogram the equation...

Let `ABCD` be a parallelogram the equation of whose diagonals are `AC : x+2y =3`; `BD: 2x + y = 3`. If length of diagonal ` AC =4` units and area of `ABCD = 8` sq. units. Then find the length of the other diagonal

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The correct Answer is:
A
In `DeltaCPB,`
`"cos " theta = (PC^(2) + PB^(2)-BC^(2))/(2PC xx PB)`
`"or "BC = (2sqrt(10))/(3)`
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CENGAGE PUBLICATION-STRAIGHT LINES-EXERCISE (LINKED COMPREHENSION TYPE)
  1. A variable line L is drawn through O(0,0) to meet the line L(1) " and ...

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  2. A variable line L is drawn through O(0,0) to meet the line L(1) " and ...

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  3. The line 6x+8y=48 intersects the coordinates axes at A and B, respeciv...

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  4. if a line has direction ratio 2,-1,-2,determine its direction cosine

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  5. The line 6x+8y=48 intersects the coordinates axes at A and B, respeciv...

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  6. A(1,3) and C(-2,/5, -2/5) are the vertices of a triangle ABC and the e...

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  7. A(1,3)and c(-2/5,-2/5)are the vertices of a DeltaABCandthe equation of...

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  8. A(1,3) and C(-2,/5, -2/5) are the vertices of a triangle ABC and the e...

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  9. Let ABCD be a parallelogram the equation of whose diagonals are AC : x...

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  10. Let ABCD be a parallelogram the equation of whose diagonals are AC : x...

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  11. Let ABCD be a parallelogram the equation of whose diagonals are AC : x...

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  12. Consider a triangle PQR with coordinates of its vertices as P(-8,5), Q...

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  13. Consider a triangle PQR with coordinates of its vertices as P(-8,5), Q...

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  14. Consider a triangle PQR with coordinates of its vertices as P(-8,5), Q...

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  15. The base of an isosceles triangle measures 4 units base angle is equal...

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  16. The base of an isosceles triangle measures 4 units base angle is equal...

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  17. The base of an isosceles triangle measures 4 units base angle is equal...

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  18. Consider point A(6, 30), point B(24, 6) and line AB: 4x+3y = 114. Po...

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  19. Consider point A(6, 30), point B(24, 6) and line AB: 4x+3y = 114. Po...

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  20. Consider point A(6, 30), point B(24, 6) and line AB: 4x+3y = 114. Po...

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