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Given below are two statements, followed by four conclusions. Assume the facts in the statements to be true and decide which of the conclusions logically follow(s) from the statements. Statements: All roots are fruits. All fruits are guns. Conclusions: I. All roots are guns,. II. All guns are roots. III. All fruits are roots. IV. Some guns are roots.
Given two quadratic equations, I. x2 - 31x + 240 = 0 Equation I has two roots x1, x2. (x1 > x2) II. 3y2 – 7y – 3 = 8y - 3y2 - 9 Equation II has two roots y1, y2. (y2 > y1) Find the equation whose roots are (– 2y1 + x1), - (y2 – x2).
The MC curve reaches its minimum point before the AVC curve and the AC curve. In addition the MC curve intersects the AVC curve and the AC curve at their lowest point. The above statements are both true
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All woods are roots. All fruits are roots. No woods are a fruit. Conclusion: (I) Some roots are fruits. (II) All roots are woods.
Consider the statements given below: A: Sum of roots of a quadratic equation ax2 + bx + c = 0 is (c/a). B: If one root of a quadratic equation is (p + qi), then root must be (q + pi). C: Roots of the equation 3x2 + 4x = 5 are all real. Which of the statement(s) is/are TRUE?
Find the equation of curve whose roots gives the point which lies in the curve f(x) = xSin(x) in the interval where slope of a tangent to a curve is equals to the slope of a line joining (0, π⁄2)
Consider the following statements in respect of the roots of the equation x3 - 8 = 0: 1. The roots are non-collinear. 2. The roots lie on a circle of unit radius. Which of the above statements is/are correct?
Match the following:   Curve   Nature of damping I Curve (a) A Un - Damped II Curve (b) B Over Damped III Curve (c) C Under Damped IV Curve (d) D Critically Damped
The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form acoherent paragraph.
P- The magnitude of the interdependence depends on the technique of production causing the shifts in the food supply curve.
Q- Interdependence of food and labour market is important for the development process.
R- Similarly, an upward shift in the food supply curve shifts up the food demand curve.
S- An upward shift in the food supply curve would simultaneously result in an upward shift in the labour demand curve.
From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:
P. The engineering stress-strain curves in tension and compression are identical.
Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.