Question : If a and b are the lengths of the sides of a right triangle whose hypotenuse is 10 units and whose area is 20 sq. units, then the value of $(a+b)^{2}$ is:

Option 1: 140

Option 2: 180

Option 3: 120

Option 4: 160

Question : The area of triangle with vertices A(0, 8), O(0, 0), and B(5, 0) is:

Option 1: 8 sq. units

Option 2: 13 sq. units

Option 3: 20 sq. units

Option 4: 40 sq. units

Question : The perimeter of a rhombus is $2p$ units, and the sum of the lengths of the diagonals is $m$ units. The area of the rhombus is:

Option 1: $\frac{m^{2}p}{4}$ sq. units

Option 2: $\frac{mp^{2}}{4}$ sq. units

Option 3: $\frac{m^{2} - p^{2}}{4}$ sq. units

Option 4: $\frac{p^{2} – m^{2}}{4}$ sq. units

Question : A is the centre of a circle whose radius is 8 units, and B is the centre of a circle whose diameter is 8 units. If these two circles touch externally, then the area of the circle with diameter AB is:

Option 1: $36\pi$ sq. units

Option 2: $64\pi$ sq. units

Option 3: $144\pi$ sq. units

Option 4: $256\pi$ sq. units

Question : If the length of each of two equal sides of an isosceles triangle is 10 cm and the adjacent angle is $45^{\circ}$, then the area of the triangle is:

Option 1: $20\sqrt{2}$ sq. cm

Option 2: $12\sqrt{2}$ sq. cm

Option 3: $25\sqrt{2}$ sq. cm

Option 4: $15\sqrt{2}$ sq. cm

Question : The area of the triangle formed by the graph of the straight lines $x-y=0$, $x+y=2$, and the $x$-axis is:

Option 1: 1 sq. unit

Option 2: 2 sq. units

Option 3: 4 sq. units

Option 4: 5 sq. units