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Which of the following statements is/are true? A: If the length of a cuboid is ‘x’ and its breadth and height are respectively (1/2) and (1/3) of its length, then the ratio of its surface is and its volume will be 12: x. B: If main diagonal of a cube becomes half, then the side of cube will also become half. C: If breadth of a cuboid is half of its length and it is cut into two equal pieces along the axes perpendicular to its length, then the 2 pieces formed will be cubes.
The triangle in which the orthocenter, circumcentre, Incenter and the centroid coincide each other at a point is known as _____________.
Which of the following statements is/are true? A: If in ΔABC, O is the orthocenter of the circle, then ∠BOC will be (90 + ∠BAC). B: Each side of an equilateral triangle is 2/√3 times of its height. C: If two transversal lines cuts two parallel lines ‘L’ at A and B and ‘M’ at C and D. If the two transversal lines cut each other at O somewhere between two parallel lines, then ΔAOB and ΔCOD will be similar.
A sheet of paper is cut into three pieces in certain way. Length of first piece of paper is equal to average of three single digit odd prime numbers while length of second piece is equal to the sum of length of first piece and one-third the length of third piece. Length of third piece is equal to the sum of lengths of first and second pieces. Find the length of original sheet.
Which of the following statements is/are true? A: If radius of a cylinder is decreased by 50% and its volume remains same, then its height will be increased by 200%. B: Difference between the curved surface area and total surface area of a cone is equal to the area of its circular base. C: If height of a cylinder is equal to its radius, then its curved surface area will be equal to the total area of its both the circular bases.
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)
In the figure given below ABC is an equilateral triangle of side 6√3 cm and AD is the median of the triangle from point A and G is the centroid of the triangle. If DP = 4 cm, then what is the length of GP?
ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ∠BPC?
ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ∠BPC?
Select the correct differences between char and varchar data types? i. varchar is non unicode and char is unicode character data type ii. char is ‘n’ bytes whereas varchar is actual length in bytes of data entered in terms of storage size iii. varchar is variable in length and char is the fixed length string iv. For varchar, if a string is less than the maximum length then it is stored in verbatim without any extra characters while for char if a string is less than the set length it is padded with extra characters to equalize its length to given length