Read the following statements carefully and select the correct option.
Statement-I: The diagonals of a rhombus bisect each other at right angles.
Statement-II: The diagonals of a parallelogram are equal.
Read the following statements carefully and select the correct option.
Statement-l: The arithmetic mean of the first five prime numbers is 5.6 .
Statement-II: The harmonic mean of the first five prime numbers is approximately 2.18.
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Read the following statements carefully and select the correct option.
Statement-I: The determinant of the matrix
Statement-II: The inverse of the matrix
Read the following statements carefully and select the correct option.
Statement-I: In a right triangle, the length of the hypotenuse is always greater than the length of either leg.
Statement-II: In any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
Read the following statements carefully and select the correct option.
Statement-I: If a point is equidistant from the endpoints of a segment, it lies on the perpendicular bisector of the segment.
Statement-II: The locus of points equidistant from two given points is the perpendicular bisector of the segment joining those points.
Read the following statements carefully and select the correct option.
Statement-I: A parallelogram with all sides equal and diagonals intersecting at right angles is a square.
Statement-II: All squares are rectangles, but not all rectangles are squares.
Read the following statements carefully and select the correct option.
Statement-I: The sum of the first n natural numbers is
Statement-II: The sum of the first n odd natural numbers is n2 .
Read the following statements carefully and select the correct option.
Statement-I: The area of a trapezium is given by
Statement-II: The diagonals of a trapezium are always equal.
Read the following statements carefully and select the correct option.
Statement-I: The measure of each interior angle of a regular octagon is 135 degrees.
Statement-II: The measure of each exterior angle of a regular octagon is 45 degrees.
Solve the following questions and select the correct option.
(i) If (x-3) and (x+1) are factors of 3x3+px2+qx+9, find the value of p+q.
(ii) If a+b+c=5 and ab+bc+ca=8, find the value of a2+b2+c2.
15 videos|63 docs|45 tests
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15 videos|63 docs|45 tests
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