Geometry PYQ — Page 6

In a triangle ABC right angled at B, AB=8 unit and AC=10 unit. What is the value of $\sin^2\theta - \cos^2\theta$ where theta is angle ACB ?

In a $\Delta ABC$ right angled at A, if $\angle ABC = 60^\circ$ and AC = 4 units, then length of BC (in units) is :

If $\sin\theta + \csc\theta = 2$, then what is the value of $\sin^2\theta + \csc^2\theta$?

If $3\sin\theta - 4\cos\theta = 0$, then value of $\tan\theta\cdot\csc\theta$ is :

If $\sin 2\theta = \cos 40^\circ$, then the smallest positive value of $\theta$ is :

If point B(0, 1) is equidistant from points A(5, -3) and C(x, 6), then find the values of x.

If perimeter of a rhombus is 104 cm and length of one of its diagonals is 48 cm, then area of the rhombus (in cm$^2$) is :

If in $\triangle ABC$ $\angle A + \angle B = 90^\circ$ and $\sin B = \frac{4}{5}$, then find the value of $\cos A$.

If CE is parallel to DB, what is the value of $x$: 

If A (1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram ABCD, then find the values of x and y.

From the figure, what is the value of x? 

From the figure, find the values of $x$ and $y$. 

From the figure, find $x$.

From a solid cylinder whose height is 2.4 cm and diameter is 1.4 cm, a conical cavity of same height and same diameter is carved out. The total surface area of the remaining solid is: Use $\pi = \frac{22}{7}$

From a point P on the ground the angle of elevation of the top of 10 m high building is $30°$. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from the point P is $45°$. Length of the flagstaff is: (Take $\sqrt{3} = 1.732$)

Find the perimeter of a rhombus whose one diagonal is 16 cm long and area is 240 cm$^2$.

Find the length of the arc of a circle with radius 5 cm, if its central angle is $70^\circ$.

Find the coordinates of centroid of $\triangle ABC$ if the mid point of BC is D(2, 4) and vertex A is (2, -3).

Find the area of an equilateral triangle each of whose sides measures 4 cm:

Find the angle of elevation of the Sun, when the length of the shadow of a tree is $\frac{1}{\sqrt{3}}$ times the height of the tree.

Find how many triangle are there in the given figure? 

An interior angle of a regular polygon is 135$^\circ$. The polygon is a/an:

An angle is $\frac{3}{7}$ times its supplementary angles. Find the angle.

AB is a diameter of a circle with centre (3, 4). If coordinates of A is the point (4, 9), then find the coordinates of B.