NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - Multiple Choice QuestionsQuestion 7
Class 6 - Mathematics - Unit 2: Geometry - Multiple Choice Questions
Question. 7
In Fig. 2.7, if point A is shifted to point B along the ray PX such that PB = 2PA, then the measure of \(\angle BPY\) is
(A)
greater than 45°
(B)
45°
(C)
less than 45°
(D)
90°
Detailed Answer with Explanation:
Step-by-step:
- A and B lie on the same ray PX. Given \(\,PB = 2\times PA\), so B is farther from P than A.
- From the figure,
\(\angle APY = 45^\circ\). - Shift the point from A to B along PX (away from P). The line joining the new point to Y tilts closer to PX.
- Therefore the angle with PY gets smaller:
\(\angle BPY < \angle APY\). - So,
\(\angle BPY < 45^\circ\).
Hence the measure of \(\angle BPY\) is less than 45° (Option C).