Coordinate Geometry Jamb Mathematics Past Questions
Question 1
In \(\bigtriangleup\)PQR, \(PQ = 10\) cm, \(QR = 8\) cm, and \(RP = 6\) cm, the perpendicular RS is drawn from R to PQ. Find the length of RS.
- A. \(4 \text{ cm}\)
- B. \(32 \text{ cm}\)
- C. \(\frac{30}{7} \text{ cm}\)
- D. \(\frac{40}{7} \text{ cm}\)
- E. \(4.8 \text{ cm}\)
Question 2
Find the length of the chord |AB| in the diagram shown above.
- A. 4.2 cm
- B. 4.3 cm
- C. 3.2 cm
- D. 3.4 cm
Question 3
If given two points A(3, 12) and B(5, 22) on an x-y plane. Find the equation of the straight line with intercept at 2.
- A. Y = 5x + 2
- B. Y = 5x + 3
- C. Y = 12x + 2
- D. Y = 22x + 3
Question 4
If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.
- A. M = 0, n = 4
- B. M = 4, n = 0
- C. M = 2, n = 2
- D. M = -2, n = 4
Question 5
Find a positive value of \(\alpha\) if the coordinate of the centre of a circle x\(^2\) + y\(^2\) - 2\(\alpha\)x + 4y - \(\alpha\) = 0 is (\(\alpha\), -2) and the radius is 4 units.
- A. 1
- B. 2
- C. 3
- D. 4
