To solve this problem, we need to track Sujoy's movements step-by-step, considering each turn and distance covered. We can visualize this by drawing a path or by tracking the net displacement in the East-West and North-South directions. Finally, we determine the distance and direction from the final point (B) back to the starting point (A).
B) 8 km towards the north — As calculated, Point B is 8 km south of Point A. Therefore, to reach Point A from Point B, one must travel 8 km towards the North.
The question asks for the specific year PV Sindhu won the Swiss Open Super 300 badminton title against Busanan Ongbamrungphan. This requires knowledge of significant achievements of prominent Indian athletes.
Correct Option: B) 2022
△ABC ~ △QPR and (area of △ABC) : (area of △PQR) = 3 : 2. If AB = 12 cm, BC = 10 cm, and AC = 9 cm, then the length of QR (in cm) is:
8\(\sqrt{3}\)
3\(\sqrt{6}\)
\(\frac{10}{\sqrt{3}}\)
\(\frac{20}{\sqrt{3}}\)
This problem involves similar triangles and their properties. When two triangles are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides. We are given the ratio of the areas and the lengths of the sides of the first triangle. We need to find the length of a corresponding side in the second triangle.
Identify the given information:
Recall the property of similar triangles regarding areas and sides:
If two triangles are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
Given \(\triangle ABC \sim \triangle QPR\), the corresponding sides are:
So, we can write:
\[ \frac{\text{Area}(\triangle ABC)}{\text{Area}(\triangle QPR)} = \left(\frac{\text{AB}}{\text{QP}}\right)^2 = \left(\frac{\text{BC}}{\text{PR}}\right)^2 = \left(\frac{\text{AC}}{\text{QR}}\right)^2 \]Substitute the given area ratio and side lengths into the formula. We need to find QR, which corresponds to AC.
\[ \frac{\text{Area}(\triangle ABC)}{\text{Area}(\triangle QPR)} = \left(\frac{\text{AC}}{\text{QR}}\right)^2 \]\[ \frac{3}{2} = \left(\frac{9}{\text{QR}}\right)^2 \]Solve for QR:
\[ \frac{3}{2} = \frac{9^2}{\text{QR}^2} \]\[ \frac{3}{2} = \frac{81}{\text{QR}^2} \]Cross-multiply to find \(\text{QR}^2\):
\[ 3 \times \text{QR}^2 = 2 \times 81 \]\[ 3 \times \text{QR}^2 = 162 \]Divide by 3:
\[ \text{QR}^2 = \frac{162}{3} \]\[ \text{QR}^2 = 54 \]Take the square root to find QR:
\[ \text{QR} = \sqrt{54} \]\[ \text{QR} = \sqrt{9 \times 6} \]\[ \text{QR} = 3\sqrt{6} \text{ cm} \]B) \(3\sqrt{6}\) cm is the correct length for QR.
The question asks to identify the correct statements regarding the principal axis of a spherical mirror. We need to recall the definition and properties of the principal axis in the context of spherical mirrors.
Correct Option: D) Only (a) and (b) are correct
The question asks about the phenomenon where a beam of light becomes visible when passing through a solution with relatively larger particles. This phenomenon is known as the Tyndall effect, which is characteristic of certain types of mixtures.
D) colloidal — A colloidal solution contains particles that are large enough (1 nm to 1000 nm) to scatter light, making the path of a beam of light visible. This phenomenon is called the Tyndall effect. Examples include milk, fog, and smoke.
Refer to the given number, symbol series and answer the question that follows.
(Left) 2 @ 1 o S λ £ 5 3 & 9 # * 2 @ 6 7 & % 3 £ 2 & 1 5 (Right)
How many such numbers are there, each of which is immediately preceded by a symbol and also immediately followed by a number?
To solve this problem, we need to first identify each digit in the given number as either even or odd. Then, we apply the specified operations (add 2 to even digits, add 3 to odd digits) to form a new number. Finally, we identify the third digit from the left and the second digit from the right in the new number and calculate their sum.
Correct Option: A) 12
The question asks to identify which animal tissue contains flattened cells. This requires knowledge of the morphology of different cell types found in animal tissues, particularly epithelial tissues and immune cells.
B) Squamous epithelium consists of flattened, scale-like cells, which perfectly matches the description in the question.
The problem requires us to analyze a statement and determine which of the given conclusions logically follow from it. We must assume the statement is true and avoid introducing outside information or assumptions.
C) Only conclusion I follows. As explained above, if watermelons always taste good in summer, and the one Radha bought was tasteless, it must not be summer. Conclusion II is an unwarranted assumption.
The problem requires us to modify a given number based on specific rules for its odd and even digits and then identify which digits appear more than once in the newly formed number.
A) 2, 4 and 6 — As determined in the step-by-step analysis, the digits 2, 4, and 6 each appear twice in the new number 2482664, thus appearing more than once.