Area of the triangle formed by the graph of the straight lines x - y = 0, x + y = 2 and x-axis is
1 sq unit
2 sq units
1 sq units
None of these
If 4x + 5y = 83 and 3x : 2y = 21 : 22, then (y - x) is
3
4
7
11
B.
4
Shortcut Method:
3x : 2y = 21 : 22
⇒ 3 x 7 : 2 x 11 = 21 : 22
And,
4x + 5y = 83
4 x 7 +5 x 11 = 83
clearly, x = 7, y = 11
(y - x) = (11 - 7) = 4
Two chords of lengths a metre and b metre subtend angles 60° and 90° at the centre of the circle respectively, which of the following is true?
a = √2 b
b = √2 a
a = 2b
b = 2a
The radius of a circle is 6 cm. The distance of a point lying outside the circle from the centre is 10 cm. The length of the tangent drawn from the outside point to the circle is
5 cm
6 cm
7 cm
8 cm
If ABCD be a cyclic quadrilateral in which ∠A = 4x°, ∠B = 7x°, ∠C = 5y°, ∠D = y°, then x : y is
3 : 4
4 : 3
5 : 4
4 : 5