Jamb Mathematics Questions - Euclidean Geometry
Question 36:
If sec2 \(\theta\) + tan2 \(\theta\) = 3, then the angle \(\theta\) is equal to
- A 30<sup style='font-size: smaller;'>o</sup>
- B 45<sup style='font-size: smaller;'>o</sup>
- C 60<sup style='font-size: smaller;'>o</sup>
- D 90<sup style='font-size: smaller;'>o</sup>
- E 105<sup style='font-size: smaller;'>o</sup>
Question 37:
Two triangles have the same areas if
- A Two sides in one triangle are equal to two sides in the other
- B Three sides in one triangle are equal to three sides in the other
- C Two angles in the triangle are equal to two angles in the other
- D Three angles in one triangle are equal to three angles in the other
- E One side and the opposite angle in one triangle are equal to one side and the opposite angle in the other
Question 38:
If the value of \(\pi\) is taken to be \(\frac{22}{7}\), the area of a semi-circle of diameter 42m is
- A 5544m<sup style='font-size: smaller;'>2</sup>
- B 1386m<sup style='font-size: smaller;'>2</sup>
- C 132m<sup style='font-size: smaller;'>2</sup>
- D 264m<sup style='font-size: smaller;'>2</sup>
- E 693m<sup style='font-size: smaller;'>2</sup>
Question 39:
PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15o find < QRS
- A 75<sup style='font-size: smaller;'>o</sup>
- B 37\(\frac{1}{2}\)<sup style='font-size: smaller;'>o</sup>
- C 127\(\frac{1}{2}\)<sup style='font-size: smaller;'>o</sup>
- D 105<sup style='font-size: smaller;'>o</sup>
Question 40:
An arc of circle of radius 2cm subtends an angle of 60o at the centre. Find the area of the sector
- A \(\frac{2 \pi}{3}\)cm<sup style='font-size: smaller;'>2</sup>
- B \(\frac{\pi}{2}\)cm<sup style='font-size: smaller;'>2</sup>
- C \(\frac{\pi}{3}\)cm<sup style='font-size: smaller;'>2</sup>
- D \(\pi\)cm<sup style='font-size: smaller;'>2</sup>