Find the angle subtended at the origin by the line segment whose … - Vidyadip

Question

Find the angle subtended at the origin by the line segment whose end points are (0, 100) and (10, 0).

✓

Answer

Let co-ordinates of the end points of a line segment are A(0, 100), B(10, 0) and origin is O(0, 0).
Abscissa of A is 0. It lies on y-axis.
Similarly, ordinates of B is 0. It lies on x-axis.
But axes intersect each other at right angle.
AB will subtended 90° at the origin. Angle is 90° or $\frac{\pi}{2}.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Co-ordinate Geometry→Co-ordinate Geometry — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Similar questions

Draw a circle of radius 3.3 cm Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q. Write your observation about the tangents.

Solve using formula.
x² + 6x + 5 = 0

In an acute-angled triangle, express a median in terms of its sides.

Form the quadratic equation if its roots are
$\frac{1}{2}$ and $\frac{-3}{4}$

In year 2015, Mrs. Shaikh got a job with salary ₹ 1,80,000 per year. Her employer agreed to give ₹ 10,000 per year as increment. Then in how many years will her annual salary be ₹ 2,50,000?

If $-4$ is a root of the quadratic equation $x^2 + 2x + 4p = 0$, find the value of $k$ for which the quadratic equation $x^2 + px(1 + 3k) + 7(3 + 2k) = 0$ has equal roots.

Which of the following sequences are arithmetic progressions. For those which are arithmetic progressions, find out the common difference.
$a + b, (a + 1) + b, (a + 1) + (b + 1), (a + 2) + (b + 1), (a + 2) + (b + 2), .....$

A circular field has a perimeter of $650\ m$. A square plot having its vertices on the circumference of the field is marked in the field. Calculate the area of the square plot.

State the two properties which are necessary for given two triangles to be similar.

Find the value of k for which the following system of equations has no solution:

$3x - 4y + 7 = 0$

$kx + 3y - 5 = 0$