The sides of a quadrilateral ABCD taken in order are 6 cm, 8 cm, 12 cm and 14 cm respectively and the angle between the first two sides is a right angle. Find its area. (Given, `sqrt(6) = 2.45`.)
1 Answers
The angles of a quadrilateral ABCD are `x^(@),(x+1)^(@),(x+2)^(@)` and `(x+3)^(@)`, taken in the same order. Then the quadrilateral ABCD is necessaril
Correct Answer - Trapezium
2 Answers 1 views
The lengths of the two sides of a right triangle containing the right angle differ by `2cm.` If the area of the triangle is `24cm^2.` Find the perimet
Correct Answer - 24cm
2 Answers 1 views
Consider a particle of mass \( m \) having linear momentum \( P \) at position \( r \) relative to the origin \( O \). Which of the following equations correctly relates \( r , P , L \) ? a) \( \left[\left(\frac{d L}{d t}\right)+r x\left(\frac{d P}{d t}\right)\right]=0 \) b) \( \left[\left(\frac{d L}{d t}\right)-r x\left(\frac{d P}{d t}\right)\right]=0 \) c) \( \left[\left(\frac{d L}{d t}\right) \times\left(\frac{d r}{d t}\right) \times P\right]=0 \) d) \( \left[\left(\frac{d L}{d t}\right)-\left(\frac{d r}{d t}\right) \times P\right]=0 \)
Correct answer is (b) We know that \(\tau\) = r × F ∵ \(\tau\) \(= \frac{dL}{dt},\) \(F = \frac{dP}{dt}\) \(\left(\frac{dL}{dt}\right) = r \times \left(\frac{dP}{dt}\right)\) \(\left(\frac{dL}{dt}\right) - r \times \left(\frac{dP}{dt}\right) = 0\)
2 Answers 1 views
In □ABCD; AB = DC and AD = BC also ∠A = 90° then □ABCD is a
Correct option is A) rectangle
2 Answers 1 views
One of the diagonals of the quadrilateral ABCD is
Correct option is (B) AC AC & BD are diagonals in quadrilateral ABCD.
2 Answers 1 views
One of the diagonals of the quadrilateral ABCD is
2 Answers
1 views
the points A, B, C and D on a circle form a quadrilateral ABCD. If ∠A = 45° then measure of ∠C =
Correct option is (B) 135° ABCD is a cyclic quadrilateral. \(\angle A\;\&\;\angle C\) are opposite angles in cyclic quadrilateral ABCD \(\therefore\) \(\angle A+\angle C\) \(=180^\circ\) \((\because\) Sum of opposite angles in a cyclic quadrilateral is \(180^\circ)\) \(\Rightarrow\) \(\angle C\) \(=180^\circ-\angle A\) \(=180^\circ-45^\circ\) ...
2 Answers 1 views
the points A, B, C and D on a circle form a quadrilateral ABCD. If ∠A = 45° then measure of ∠C =
2 Answers
1 views
If ABCD is a cyclic quadrilateral, then ∠A + ∠C =
Correct option is B) 180°
2 Answers 1 views
In a Quadrilateral ABCD, ∠A + ∠B = 200° then ∠C + ∠D = ……………
Correct option is (C) 160° \(\because\) Sum of all angles in a quadrilateral is \(360^\circ.\) \(\therefore\) In quadrilateral ABCD, \(\angle A+\angle B\) \(+\angle C+\angle D\) \(=360^\circ\) \(\Rightarrow\) \(200^\circ\) \(+\angle C+\angle D\) \(=360^\circ\) \((\because\angle A+\angle B=200^\circ)\) \(\Rightarrow\) \(\angle C+\angle D\) \(=360^\circ-200^\circ=160^\circ\)
2 Answers 1 views