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.
Question :What is the ratio of the lengths of diagonals of a rhombus ?
Statement - I :One diagonal of the rhombus is equal to its side.
Statement - II :The longer diagonal of the rhombus is equal to√3 times its side.
Solution:
Statement - I : One diagonal of the rhombus is equal to its side.
ABCD is a Rhombus hence AC bisect BD
Δ ABD andΔ BDC are equilateral triangles.
AC intersects BD at 90°
AC = 2 × a√3/2 = √3
BD = a
BD/AC = 1/√3
Hence statement 1 is sufficient to answer the question.
Statement 2: The longer diagonal of the rhombus is equal to √3 times its side.
Same figure can be drawn and the question can be answered.
∴ 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)?
A parallelogram is a quadrilateral in which:
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