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Let D be a simple graph on 10 vertices such that there is a vertex of degree 1, a vertex of degree 2, a vertex of degree 3, a vertex of degree 4, a vertex of degree 5, a vertex of degree 6, a vertex of degree 7, a vertex of degree 8 and a vertex of degree 9. What can be the degree of the last vertex?
Study the following statements.i) The displacement method is more useful when degree of kinematic indeterminacy is greater than the degree of static indeterminacy.ii) The displacement method is more useful when degree of kinematic indeterminacy is less than the degree of static indeterminacy.iii) The force method is more useful when degree of static indeterminacy is greater than the degree of kinematic indeterminacy.iv) The force method is more useful when degree of static indeterminacy is less than the degree of kinematic indeterminacy.The correct answer is
In an equilateral triangle, another equilateral triangle is drawn inside joining the mid-points of the sides of the given equilateral triangle and the process continues uptofive times. What is the ratio of the area of fourth triangle to that of sixth triangle? (Original triangle is counted as 1st triangle)
Triangle XYZ is similar to triangle RST. Area of triangle XYZ is 2304 cm2 and area of triangle RST is 1296 cm2. If the longest side of the triangle XYZ measures 144 cm, then what will be the measure of the longest side of the triangle RST?
The rear window of an automobile is made of thick glass i.e. AB = 5 mm and thermal conductivity is 0.8 W/m degree. To defrost this window, a thin transparent film type heating element has been fixed to its inner surface. For the conditions given below, determine the electric power that must be provided per unit area of window if a temperature 5 degree Celsius is maintained at its outer surface. Interior air temperature and the corresponding surface coefficient are 20 degree Celsius and 12 W/m2 degree. Surrounding air temperature and the corresponding surface coefficient are – 15 degree Celsius and 70 W/m2 degree. Electric heater provides uniform heat flux
In the following question, 3 statements are given. You have to find which is/are necessary and sufficient to answer the following question.  Find the area of the Triangle ABC Statement I∶ Perimeter of the triangle is 100. Statement II∶ Sum of the largest and smallest side of the triangle is 73. Statement III∶ The triangle is an isosceles triangle.
A circle of maximum area is inscribed in the square. An equilateral triangle is inscribed in that circle and all the vertices of the triangle touch the circle. A triangle is formed by the joining of the midpoint of the sides of the equilateral triangle. Find the ratio of the area of the square and area of the triangle which is formed by midpoints.
In triangle ABC, AD, BE and CF are the medians intersecting at point G and area of triangle ABC is 156 sq.cm. What is the area (in sq.cm) of triangle FGE?
In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?
Length of a rectangle PQRS is equal to the length of side AB of a triangle ABC. Height of triangle from base AB is 8 times to the breadth of rectangle PQRS. If the perimeter of rectangle is 100 cm and the area of a rectangle is 600 cm2, then what will be the area of triangle ABC?