Question
Construct ∠ABC = 90°, where AB = 6 cm and BC = 8 cm.
Use ruler and compass to answer this question. Construct ∠ABC = 90°, where AB = 6 cm and BC = 8 cm.…
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Question
If kx − y + 4 = 0 and 2y = 6x + 7 Are Perpendicular, Find k and the Required Parallel Line
(a) If the lines kx − y + 4 = 0 and 2y = 6x + 7 are perpendicular to each other,…
Question
Rohan Buys 2 kg Laddu at ₹500/kg and 12 Pastries at ₹100 Each — Find GST and Total Bill
Rohan bought the following eatables for his friends: S. No. Item Price Quantity Rate of GST 1 Laddu ₹500 per kg 2…
Question
Ages of 100 Policy Holders — Draw an Ogive, Find Median Age and Number Above 52 Years
A life insurance agent found the following distribution of ages of 100 policy holders: Age (years) Frequency Cumulative frequency 20–25 2 2…
Question
Mr Gupta invested ₹33,000 in buying ₹100 shares of a company at 10% premium. The dividend declared by the company is 12%. Find:
Mr Gupta invested ₹33,000 in buying ₹100 shares of a company at 10% premium. The dividend declared by the company is 12%.…
Question
The figure shows a circle of radius 9 cm with O as the centre. The diameter AB produced meets the tangent PQ at P. If PA = 24 cm, find the length of tangent PQ.
The figure shows a circle of radius 9 cm with O as the centre. The diameter AB produced meets the tangent PQ…
Question
A Sphere of Radius 28 cm Is 3/4 Full of Oil — Find Its Height in a Cylinder of Radius 21 cm
Oil is stored in a spherical vessel, occupying of its full capacity. The radius of the spherical vessel is 28 cm. This…
Question
Cards Marked A, D, M, N, O, S, U and Y — Find Probabilities Using MONDAY and SUNDAY
The letters A, D, M, N, O, S, U and Y of the English alphabet are written on separate cards and put…
Question
The polynomial 3x³ + 8x² − 15x + k has (x − 1) as a factor. Find the value of k. Hence, factorize the resulting polynomial completely.
The polynomial 3x³ + 8x² − 15x + k has (x − 1) as a factor. Find the value of k. Hence,…
Question
Triangle ABC with B(4, −4), C(−4, −2) and D on AC — Find Centroid, Ratio k and Equation of BD
In the given diagram, ABC is a triangle, where B(4, −4) and C(−4, −2). D is a point on AC. (a) Write…