The parallel sides of a trapezium are 48 cm, 40 cm, and the distance between them is 14 cm. Find the radius of a circle whose area is equal to the area of the trapezium.
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Area of triangle whose vertices are `(a,a^2),(b,b^2),(c,c^2)` is `1/2` . and area of another triangle whose vertices are `(p,p^2),(q,q^2) and (r,r^2)`
Correct Answer - D `(d)` `|{:((1+ap)^(2),(1+bp)^(2),(1+cp)^(2)),((1+aq)^(2),(1+bq)^(2),(1+cq)^(2)),((1+ar)^(2),(1+br)^(2),(1+cr)^(2)):}|` `=|{:(1,2a,a^(2)),(1,2b,b^(2)),(1,2c,c^(2)):}|xx|{:(1,p,p^(2)),(1,q,q^(2)),(1,r,r^(2)):}|` `=2xx2Delta_(1)*2Delta_(2)` `=8Delta_(1)Delta_(2)=8xx(1)/(2)xx4=16`
2 Answers 1 views
Two long straight wires with equal cross-sectional radii a area located parallel to each other in air at large distance b from each other. Find the ca
Correct Answer - `(piepsilon_(0))/(In b//d)`
2 Answers 1 views
From a point T the length of the tangent to a circle is 12cm and the distance of T from the centre is 13cm. The radius of circle is –
Correct answer is (D) 5 cm
2 Answers 1 views
The area of a circle (A) varies directly as the square of its radius. The area of the circle of radius 7 cm is 154 `cm^(2)`. What is the area of the c
Correct Answer - 3850 `cm^(2)`
2 Answers 2 views
(i) The radius of a circle is increasing at the rate of 5 cm/sec. Find the rate of increasing of its perimeter. (ii) If the area of a circle increases
Correct Answer - `10 pi cm//sec`
2 Answers 2 views
A lawn is in the form of a rectangle whose sides are in the ratio 5:3 and its area is 3375 `m^(2)`.Find the cost of fencing the lawn at Rs. 20 per met
Correct Answer - `Rs,4800`
2 Answers 1 views
The adjacent sides of a parallelogram are 36 cm and 27 cm in length .If the distance between the shorter sides is 12 cm , find the distance between th
Correct Answer - 9cm
2 Answers 1 views
In a circle of radius 5 cm, AB and CD are two parallel chords of lengths 8 cm and 6 cm respectively. Calculate the distance between the chords if they
Correct Answer - (i) 1 cm (ii) 7 cm
2 Answers 1 views
Two parallel chords of lengths 30cm and 16cm are drawn on the opposite sides of the centre of a circle of radius 17cm. Find the distance between the c
Correct Answer - 23 cm
2 Answers 3 views
The difference between the lengths of the parallel sides of a trapezium is 8 cm, the perpendicular distance between these sides is 24 cm and the area
Correct Answer - 17 cm, 9 cm
2 Answers 1 views