Jamb Mathematics Questions - lengths and areas of plane geometrical figures
Question 56:
The figure shows circles of radii 3cm and 2cm with centres at X and Y respectively. The circles have a transverse common tangent of length 25cm. Calculate XY
- A \(\sqrt{630}\)cm
- B \(\sqrt{626}\)cm
- C \(\sqrt{615}\)cm
- D \(\sqrt{600}\)cm
Question 57:
The shaded area represents
- A X \(\leq\) 0, y \(\leq\) 0, 2y + 3x \(\leq\) 6
- B X \(\geq\) 0, y \(\geq\) 3, 3x + 2y \(\geq\) 6
- C X \(\geq\) 2, y \(\geq\) 0, 3x + 2y \(\leq\) 6
- D X \(\geq\) 0, y \(\geq\) 0, 3x + 2y \(\geq\) 6
Question 58:
Find the area bounded by the curve y = x(2-x). The x-axis, x = 0 and x = 2.
- A 4 sq units
- B 2 sq units
- C \(\frac{4}{3}sq\hspace{1 mm}units\)
- D \(\frac{1}{3}sq\hspace{1 mm}units\)
Question 59:
The diagram above is the graph of y = x2, the shaded area is
- A 64 square units
- B <sup style='font-size: smaller;'>128</sup>/<sub style='font-size: smaller;'>3</sub> square units
- C <sup style='font-size: smaller;'>64</sup>/<sub style='font-size: smaller;'>3</sub> square units
- D 32 square units
Question 60:
If the diagram is the graph of y = x2, the shaded area is
- A 64 square units
- B \(\frac{126}{4}\) square units
- C 32 square units
- D \(\frac{64}{3}\) square units