Question 1 :
If the sum of the circumferences of two circles with radii $R_1$ and $R_2$ is equal to the circumference of a circle of radius R, then
Question 2 :
State True / False, to construct a triangle similar to a given ∆ABC with its sides $\frac{7}{3}$ of the corresponding sides of ∆ABC, draw a ray BX making acute angle with BC and X lies on the opposite side of A with respect to BC. The points $B_1 , B_2 , ...., B_7$ are located at equal distances on $BX, B_3$ is joined to C and then a line segment $B_6C'$ is drawn parallel to $B_3C$ where C' lies on BC produced. Finally, line segment A'C' is drawn parallel to AC.
Question 3 :
State True / False, a pair of tangents can be constructed to a circle inclined at an angle of 170$^{\circ}$.
Question 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a4b273b230584979916.jpg' />
In the above figure, XY and X′Y′ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X′Y′ at B. ∠ AOB = ?
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bcc273b230584979a1a.JPG' />
The above image represents two tangents TP and TQ drawn to a circle with centre O from an external point T . Then
Question 6 :
An observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is $45^{\circ}$. What is the height of the chimney?
Question 7 :
From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are $45^{\circ}$ and $60^{\circ}$ respectively. Find the height of the tower.
Question 8 :
If $x_i$’s are the mid points of the class intervals of grouped data, $f_i$’s are the corresponding frequencies and $\bar{x}$ is the mean, then $(f_i * x_i - \bar{x})=$
Question 9 :
If n is the total number of observations, locate the class whose cumulative frequency is greater than (and nearest to) $\frac{n}{2}$.Is it TRUE or FALSE that, this class is called the median class.
Question 10 :
11th term of the AP: – 3, -0.5, 2, . . ., is
Question 11 :
In an AP, given $a = 8, a_n = 62, S_n = 210$, find n and $d$.
