CBSE Questions for Class 9 Maths Quadrilaterals Quiz 9 - MCQExams.com

In a quadrilateral ABCD, the point P divides DC in the ratio 1:2 and Q is the mid point of AC. If $$\overline{AB}+\overline{2AD}+\overline{BC}-\overline{2DC}=k\overline{PQ}.$$ then $$k=$$
  • -6
  • -4
  • 6
  • 4
If D is mid-point of the side BC of a triangle ABC and AD is perpendicular to AC then  $$\dfrac{a^2 c^2}{b^2}$$ =
  • 1
  • 2
  • 3
  • 4
The mid point of the side of a triangle along with any of the vertices as the fourth point make a parallelogram of area=
  • $$\frac{1}{2}ar(ABC)$$
  • $$\frac{1}{3}ar(ABC)$$
  • $$\frac{1}{4}ar(ABC)$$
  • $$ar(ABC)$$
In the figure, ABCD and PQRS are rectangles, where Q is the mid - point of AC then 
1435170_e82709f476824710847b1cadd62e8ec0.PNG
  • $$DP = PC$$
  • $$\frac{1}{3}PR = \frac{3}{2}DB$$
  • $$DP=PQ$$
  • $$DP = \frac{1}{2}AC$$
Three angles of a quadrilateral are in the ratio 4 : 5 : 6 with the difference of $${ 36 }^{ 0 }$$ between the largest and the smallest of the given three angles. The fourth angle of the quadrilateral would be 
  • $${ 270 }^{ 0 }$$
  • $${ 90 }^{ 0 }$$
  • $${ 108 }^{ 0 }$$
  • $${ 72 }^{ 0 }$$
Let P, Q, R and S be the points on the plane with position vectors $$-2\overset { \wedge  }{ i } -\overset { \wedge  }{ j } ,4\overset { \wedge  }{ i } ,3\overset { \wedge  }{ i } ,3\overset { \wedge  }{ j } $$ and $$-3\overset { \wedge  }{ i } +2\overset { \wedge  }{ j } $$ respectively. The quadrilateral PQRS must be a 
  • Parallelogram, which is neither a rhombus nor a rectangle
  • square
  • rectangle, but not a square
  • rhombus, but not a square
PQRS 5 $$\angle Q=7\angle s,\quad \angle Q=....$$
  • $${ 105 }^{ 0 }$$
  • $${ 75 }^{ 0 }$$
  • $${ 90 }^{ 0 }$$
  • $${ 60 }^{ 0 }$$
0:0:1


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