MAH-CET 2025 — Mathematics PYQ
MAH-CET | Mathematics | 2025The lines 1x=2y=3zand−2x−1=−4y−2=−6x−3are
Choose the correct answer:
- A.
Coincident
(Correct Answer) - B.
Skew
- C.
Intersecting
- D.
Parallel
Coincident
Explanation
1. Direction Ratios (DRs) ki tulna
d1=(1,2,3)
d2=(−2,−4,−6)
Ratios:
−21=−42=−63
−21=−21=−21
⟹L1∥L2 (Lines parallel hain).
2. Point Check
L2 ka ek point (1,2,3) hai. Ise L1 mein rakhte hain:
11=22=33
1=1=1
⟹ Point (1,2,3) line L1 par bhi sthit hai.
Answer:
Lines Coincident (Sampati) hain.
Explanation
1. Direction Ratios (DRs) ki tulna
d1=(1,2,3)
d2=(−2,−4,−6)
Ratios:
−21=−42=−63
−21=−21=−21
⟹L1∥L2 (Lines parallel hain).
2. Point Check
L2 ka ek point (1,2,3) hai. Ise L1 mein rakhte hain:
11=22=33
1=1=1
⟹ Point (1,2,3) line L1 par bhi sthit hai.
Answer:
Lines Coincident (Sampati) hain.