81. ABDC is a parallelogram in which diagonals AD and BC intersect at O. AE and DF are perpendiculars on BC at E and F, respectively. Which of the following is NOT true?
82. In the given figure, chords AD and BC in the circle, are extended to E and F, respectively.
If ∠CDE = 85°, ∠DCF = 94°, then the value of ∠ABF + ∠EAB is:
If ∠CDE = 85°, ∠DCF = 94°, then the value of ∠ABF + ∠EAB is:
83. If one side of a triangle is 7 with its perimeter equal to 18, and area equal to $$\sqrt {108} ,$$ then the other two sides are:
84. In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is
85. ABCD is a cyclic quadrilateral Diagonals BD and AC intersect each other at E. If ∠BEC = 128° and ∠ECD = 25°, then, what is the measure of ∠BAC?
86. The perimeter of a triangle with sides of integer values is equal to 13. How many such triangles are possible?
87. ABCDE is a regular pentagon. Its sides are extended as shown in the figure. The value of $$\frac{{\angle {\text{ABC}} + 2\angle {\text{EGD}} + 3\angle {\text{BAJ}}}}{6} = ?$$
88. Two parallel chords are drawn in a circle of diameter 20 cm. The length of one chord is 16 cm and the distance between the two chords is 12 cm. The length of the other chord is:
89. In a ΔXYZ, XO is the median and XO = $$\frac{1}{2}$$YZ. If ∠YXO = 30°, then what is the value of ∠XYZ?
90. ln ΔPQR, O is the incentre and ∠P = 42°. Then what is measure of ∠QOR?
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