Straight Lines

Also,
On solving Eqs. (i) and (ii), we get

Area of

Given pair of lines are

and

and
and

The lines and
are parallel.
Also, angle between and
is not 90 .
It is a parallelogram.

Given lines are parallel.

diameter of the circle
Radius of circle
Area of circle sq unit

Angle between faces OAB and ABC = Angle between and If Q be the angle between and then

Given curve is on differentiating, we get Given line is 2x - y + 5 = 0 slope of line is 2. Therefore, put y = 1 in the equation of curve, we get 1 = 4x + 5 x = - 1 Hence, point of contact is (- 1, 1)

A right-angled triangle with hypotenuse has two legs, which can be expressed using trigonometric functions: Step 1: Compute the area The area of the triangle is given by: Using the trigonometric identity: we get:
Step 2: Maximize the area Since has a maximum value of 1 when or , the maximum area is:
Step 3: Verify the correct option The correct answer, based on the calculations, is , which matches option (D).