Each item contains a Question followed by two Statements. Answer each item using the following instructions:
Area of a rectangle with length x and breadth y is P and area of a parallelogram (which is strictly not a rectangle) with adjacent sides of length x and y is Q.
A circle touches all the four sides AB, BC, CD, DA of a quadrilateral ABCD.
Question : What is the perimeter of the quadrilateral ?
Statement - I : AB + DC = 10 cm
Statement - II : AD + BC = 10 cm
Given:
Solution:
Statement - I : AB + DC = 10 cm
If AB + DC = 10 cm than AD + BC = 10 cm
Hence, we can calculate the perimeter by using statement 1
Statement - II : AD + BC = 10 cm
If AD + BC = 10 cm than AB + DC = 10 cm
Hence, we can calculate the perimeter by using statement 2.
The correct answer is option b.
English
10 Questions
10 Marks
10 Mins English English120 Questions120 Marks120 Mins English English100 Questions300 Marks120 Mins EnglishA parallelogram is a quadrilateral in which:
The number of diagonals in a hexagon is :
ABCD is a trapezium in which BC || AD and AC = CD. If ∠ABC = 54° and ∠BAC = 60°, then what is the measure of ∠ACD (in degree)?
ABCD is a trapezium in which BC || AD and AC = CD. If ∠ABC = 19° and ∠BAC = 137°, then what is the measure of ∠ACD (in degree)?
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and
Then is equal to:
If is the solution of the pair of equations: and
and then the value of is:
The number of real solutions of the equation x² − 3|x| + 2 = 0 is:
The interior angles of a polygon are in arithmetic progression. The smallest angle is 120° and the common difference is 5°. Find the number of sides of the polygon.
ABCD is a trapezium in which BC‖AD and AC=CD. If ∠ABC=40° and ∠BAC=120°, then what is the measure of ∠ACD (in degree)?
For a regular polygon, the sum of the interior angles is 250% more than the sum of its exterior angles. Each interior angle of the polygon measures x°. What is the value of x?
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