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…
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Question
Solve the following inequation, write down the solution set and represent it on the real number line: −3 + x ≤ 7x/2 + 2 < 8 + 2x, x ∈ I.
Solve the following inequation, write down the solution set and represent it on the real number line: −3 + x ≤ +…
Question
Isosceles △ABC in a Circle with ∠COM = 65° and Tangent PQ at C — Find ∠ABC, ∠BAC and ∠BCQ
In the given diagram, an isosceles △ABC is inscribed in a circle with centre O. PQ is a tangent to the circle…
Question
In the given diagram, △ADB and △ACB are two right-angled triangles with ∠ADB = ∠BCA = 90°. If AB = 10 cm, AD = 6 cm, BC = 2.4 cm and DP = 4.5 cm:
In the given diagram, △ADB and △ACB are two right-angled triangles with ∠ADB = ∠BCA = 90°. If AB = 10 cm,…
Question
The nth term of an Arithmetic Progression (A.P.) is given by the relation T n = 6(7 − n). Find:
The nth term of an Arithmetic Progression (A.P.) is given by the relation Tn = 6(7 − n). Find: (a) its first…
Question
Solve the following quadratic equation for x and give your answers correct to three significant figures: 2x² − 10x + 5 = 0
Solve the following quadratic equation for x and give your answers correct to three significant figures: 2x² − 10x + 5 =…
Question
A 100 m Tree Has Angles of Elevation 52° and 45° from Opposite Sides — Find Distance AB
The angles of elevation of the top of a 100 m high tree from two points A and B on opposite sides…
Question
Histogram of Plant Heights — Prepare the Frequency Table and Find the Modal Class and Mode
The given histogram represents the number of plants of different heights grown on a school campus. Study the graph carefully and answer…
Question
If (a+b)^3/(a-b)^3=64/27: (a) Find a+b/a-b. (b) Hence, using properties of proportion, find a : b.
If : (a) Find . (b) Hence, using properties of proportion, find a : b.
Question
Movie Durations from 100–160 Minutes — Find the Mean by the Step-Deviation Method
The following table gives the duration of movies in minutes: Duration (minutes) Number of movies 100–110 5 110–120 10 120–130 17 130–140…