MBA Exam

The circle x2 + y2 − 4x + 3 = 0 and the parabola x2 – 4x – 4y + 8 = 0 have a common tangent. What is the equation of this tangent?

1) x = 2
2) y = 1
3) x + y = 1
4) y – x = 2

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MBA Other Question

sqrt(x^2) < x+1 ; find the values of x which satisfy this equation;i think answer should be x>0.5 ; But in Arun sharma answer is x>0 ...........can anyone help??

Answer the questions on the basis of the information given below.There are three liquids X, Y and Z. Cost price of 100 ml of liquid Xand selling price of 100 ml of liquid Y are the same, which is Rs. 500.Liquid X, when sold, yields a loss of 10% and Liquid Y, when sold,yields a profit of 10%. Z’s cost price and selling price are the same,which is Rs. 500 for 100 ml.Three types of products (P1, P2 and P3) are prepared in the following manner :1. P1 contains X and Y in the ratio 3 : 2 by volume2. P2 contains X and Y in the ratio 2 : 3 by volume3. P3 contains only ZThe selling price of each of the products is the aggregate sum of the selling price of the individual components.If 341 ml of P1 was sold, then the profit/loss (approximately) would be(1) 1% loss (2) 2.5% loss (3) 1% profit(4) 2.5% profit (5) 5% profit