Geometry And Trigonometry Jamb Mathematics Past Questions
Question 61
A side of a rhombus is 2cm in length. The angle of the rhombus is 60°. What is the length of the diagonal facing this angle?
- A. 2cm
- B. 8cm
- C. 4cm
- D. 2\(\sqrt{3}\)cm
- E. 16cm
Question 62
Two distinct sectors i the same circle subtend 100° and 30° respectively at the centre of the circle. Their corresponding arcs are in ratio
- A. 10:3
- B. 1:100
- C. 3:1
- D. 5:2
Question 63
In \(\bigtriangleup\)XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW?
- A. 1.5cm
- B. 2.5cm
- C. 3cm
- D. 4cm
- E. None of the above
Question 64
The area of a circular plate is one-sixteenth the surface area of a ball of a ball, If the area of the plate is given as P cm^2, then the radius of the ball is
- A. \(\frac{2P}{\pi}\)
- B. \(\frac{P}{\sqrt{\pi}}\)
- C. \(\frac{P}{\sqrt{2\pi}}\)
- D. 2\(\frac{P}{\pi}\)
Question 65
What is the length of an arc of a circle that substends 2\(\frac{1}{2}\) radians at the centre when the raduis of the circle = \(\frac{k}{k + 1}\) + \(\frac{k + 1}{k}\) then
- A. p
- B. p\(\geq\) 0
- C. p \(\leq\) 0
- D. p
- E. p > 0
