2025 YCKSS PRELIMS P2 Q3

2025 YCKSS PRELIMS P2 Q3

Secondary 4
9 marks
  1. Points are \(P(-2,-1)\), \(R(7,17)\), and \(S(20,3)\). Point \(Q\) lies on \(PR\) and \(SQ\perp PR\). Using \((\text{gradient of}\hspace{0.5em}SQ)(\text{gradient of}\hspace{0.5em}PR)=-1\), find the equation of \(SQ\).[4]
  2. \(G=(5,3)\), \(H=(-4,h)\), \(h>0\), and \(GH=15\). Find \(h\).[3]
  3. The y-intercept of \(2x+ky-6=0\) is \(-2\). Find \(k\).[2]

Solution:

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Answer:(a) \(y=-\dfrac12x+13\) (b) \(h=15\) (c) \(k=-3\)

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