Step 1: Analyze the conditions for coinciding lines. For the lines 3x + 2y + p = 0 and qx + qy − 7 = 0 to coincide, the coefficients of x, y, and the constants must be proportional:
$\frac{3}{q} = \frac{2}{q} = \frac{p}{-7}$
Step 2: Test each statement.
Answer: Option 1.
If the equation \( a(b - c)x^2 + b(c - a)x + c(a - b) = 0 \) has equal roots, where \( a + c = 15 \) and \( b = \frac{36}{5} \), then \( a^2 + c^2 \) is equal to .
Match the following airlines with the countries where they are headquartered.
Airlines | Countries |
---|---|
1. AirAsia | A. Singapore |
2. AZAL | B. South Korea |
3. Jeju Air | C. Azerbaijan |
4. Indigo | D. India |
5. Tigerair | E. Malaysia |
Match the following authors with their respective works.
Authors | Books |
---|---|
1. Andy Weir | A. Dune |
2. Cixin Liu | B. The Time Machine |
3. Stephen Hawking | C. The Brief History of Time |
4. HG Wells | D. The Martian |
5. Frank Herbert | E. The Three Body Problem |