Jamb Mathematics Questions - Euclidean Geometry
Question 41:
In this figure, PQRS is a parallelogram, PS = PT and < PST = 55\(^o\). The size of <PQR is
- A 125<sup style='font-size: smaller;'>o</sup>
- B 120<sup style='font-size: smaller;'>o</sup>
- C 115<sup style='font-size: smaller;'>o</sup>
- D 110<sup style='font-size: smaller;'>o</sup>
- E 10<sup style='font-size: smaller;'>o</sup>
Question 42:
If O is the centre of the circle, < POS equls
- A 70<sup style='font-size: smaller;'>o</sup>
- B 75<sup style='font-size: smaller;'>o</sup>
- C 105<sup style='font-size: smaller;'>o</sup>
- D 140<sup style='font-size: smaller;'>o</sup>
- E 150<sup style='font-size: smaller;'>o</sup>
Question 43:
In the figure, PQ and QR are chords of the circle PQR. QRS is a straight line and PR is equal to RS, < PSR is 20o. What is the size of
- A 70<sup style='font-size: smaller;'>o</sup>
- B 90<sup style='font-size: smaller;'>o</sup>
- C 80<sup style='font-size: smaller;'>o</sup>
- D 40<sup style='font-size: smaller;'>o</sup>
- E 60<sup style='font-size: smaller;'>o</sup>
Question 44:
The ratio of the areas of similar triangles is necessarily equal to
- A The ratio of the corresponding sides
- B The ratio of the squares of corresponding sides
- C The ratio of the corresponding heights of the triangles
- D Half the ratio of the corresponding heights of the triangles
- E The ratio of the corresponding bases to the heights of the triangles
Question 45:
P and Q are fixed points and X is a variable point which moves so that angle PXQ = 45o. What is the locus of x?
- A A pair of straight lines parallel to PQ
- B The perpendicular bisector of PQ
- C An arc of a circle passing through P and Q
- D A circle with diameter PQ
- E The bisector of angle PXQ