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Class: Class 10

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Question

Radius of a circle is 7 cm. Find the angle in radians which is subtended by an arc of this circle of length 5.5 cm at the centre of the circle.

Radius of a circle is 7 cm. Find the angle in radians which is subtended by an arc of this circle of…

30/09/2025

Question

If cos θ = [katex]\frac{x}{\sqrt{x²+y²}}[/katex] , then prove that x sin θ = y cos θ

If cos θ = , then prove that x sin θ = y cos θ

30/09/2025

Question

Construct a square of the equal area of an equilateral triangle of side 7 cm.

Construct a square of the equal area of an equilateral triangle of side 7 cm.

30/09/2025

Question

Draw a right-angled triangle of which two sides containing the right angle have the lengths 5 cm and 6 cm. Now draw an incircle of the triangle.

Draw a right-angled triangle of which two sides containing the right angle have the lengths 5 cm and 6 cm. Now draw…

30/09/2025

Question

If the fourth and fifth of the five numbers in continued proportion are 54 and 162 respectively, find the first number.

If the fourth and fifth of the five numbers in continued proportion are 54 and 162 respectively, find the first number.

30/09/2025

Question

If [katex]\frac{\text{a²}}{\text{b+c}}[/katex] =[katex]\frac{\text{b²}}{\text{c+a}}[/katex] = [katex]\frac{\text{c²}}{\text{a+b}}[/katex] = 1, then show that [katex]\frac{1}{\text{1+a}}[/katex] + [katex]\frac{1}{\text{1+b}}[/katex] + [katex]\frac{1}{\text{1+c}}[/katex] = 1

If = = = 1, then show that + + = 1

30/09/2025