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The area of the region enclosed by the curve zz̅+a(z̅+z)+a=0 is 2π. If a2–7a+10=0, find the area of the region enclosed by the curve zz̅+2a(z̅+z)+a=0.
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
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.
“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
A curve passes through (1, 1) such that the triangle formed by the coordinate axes and the tangent at any point of the curve is in the first quadrant and has its area equal to 2. What will be the equation of the curve?
Which of the following statements is/are correct about Municipalities? 1. "Metropolitan area" means an area having a population of ten lakhs or more, comprised in one or more districts and consisting of two or more Municipalities or Panchayats or other contiguous areas, specified by the State Legislature by public notification to be a Metropolitan area for the purposes. 2. A Nagar Panchayat (by whatever name called) for a transitional area, that is to say, an area in transition from a rural area to an urban area;
The average area of 2 rooms I and II are 400 square meters. If one rectangular room(III) area is added then the average area becomes 500 square meters. If another room IV, whose area is 600 square meters more than the III room, replaces room I, then the average area of II, III and IV room becomes 900 square meters. Find the area of I room.
The average area of 3 square rooms I, II, and III are 1600 square meters. If one rectangular room(IV) area is added then the average area becomes 1400 square meters. If another room V, whose area is 400 square meters more than the IV room, replaces room I, then the average area of II, III, IV, and V room becomes 1350 square meters. Find the area of I room.