Question
Parallelogram ABCD on a Graph — Find Its Coordinates, Diagonal Intersection, Slopes and Equation of AC
In the given graph, ABCD is a parallelogram. (a) Write the coordinates of A, B, C and D. (b) Calculate the coordinates…
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Question
Given Three 2 × 2 Matrices A, B and C, Find A + C, B(A + C), 5B and B(A + C) − 5B
If A = , B = and C = , find: (a) A + C (b) B(A + C) (c) 5B (d)…
Question
Construct △ABC with AB = 6 cm, AC = 4.5 cm and ∠BAC = 120°, Then Draw Its Circumcircle
Using ruler and compass, construct △ABC where AB = 6 cm, AC = 4.5 cm and ∠BAC = 120°. Construct the circle…
Question
In △ABC, ∠ABC = 90°, AB = 20 cm and AC = 25 cm. DE is perpendicular to AC such that ∠DEA = 90° and DE = 3 cm, as shown.
In △ABC, ∠ABC = 90°, AB = 20 cm and AC = 25 cm. DE is perpendicular to AC such that ∠DEA…
Question
Mrs Rao deposited ₹250 per month in a recurring deposit account for 3 years. She received ₹10,110 at maturity. Find:
Mrs Rao deposited ₹250 per month in a recurring deposit account for 3 years. She received ₹10,110 at maturity. Find: (a) the…
Question
Solve the quadratic equation 2x² − 5x − 4 = 0. Give your answers correct to three significant figures.
Solve the quadratic equation 2x² − 5x − 4 = 0. Give your answers correct to three significant figures.
Question
Assertion: Mean of the First 9 Natural Numbers Is 4.5 — Reason Uses the Mean Formula
Assertion (A): The mean of the first 9 natural numbers is 4.5. Reason (R): Mean = (a) A is true, R is…
Question
Find the Integer Solution Set of 0 < −x/3 < 2
The solution set for 0 < − < 2, x ∈ Z is: (a) {−5, −4, −3, −2, −1} (b) {−6, −5,…
Question
The marked price of an article is ₹1,375. If CGST is charged at the rate of 4%, then the price of the article including GST is:
The marked price of an article is ₹1,375. If CGST is charged at the rate of 4%, then the price of the…
Question
If the volumes of two spheres are in the ratio 27 : 64, then the ratio of their radii is:
If the volumes of two spheres are in the ratio 27 : 64, then the ratio of their radii is: (a) 3…