A: ∣2i^×3j^∣=6 (IV).
B: k^⋅k^+i^⋅i^=1+1=2 (I).
C: Collinearity gives a2=−6−3=21, so a=4 (II).
D: 4−4+λ=0, so λ=0 (III).
A shopkeeper has 10 litres of pure honey. He sells honey at the cost price of Rs. 300 per litre. After mixing some quantity of water in pure honey he sells the syrup of pure honey and water at Rs. 250 per litre. The quantity of water mixed in pure honey is
Held on 25 May 2023 · Verified 13 Jul 2026.
2 litres
1 litre
3 litres
0.5 litres
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If the total cost and total revenue of a company that produces and sells $x$ units of a particular product are $C(x) = 5x + 350$ and $R(x) = 50x - x^2$ respectively, then which of the following is/are the breakeven values: (A) $x = 10$ (B) $x = 25$ (C) $x = 45$ (D) $x = 30$ Choose the correct answer from the options given below:
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