📄 GuideTwo parallel chords of lengths 10 cm and 24 cm are on the same side of the centre of a circle. Class 9
Two parallel chords of lengths 10 cm and 24 cm are on the same side of the centre of a circle. Class
📄 GuideIn a circle with centre O, chords AB and AC are congruent. Explain why this statement is true Class 9
In a circle with centre O, chords AB and AC are congruent. Explain why this statement is true Class
📄 GuideConsider all chords of a circle of a fixed length. What is the shape formed by the midpoints Class 9
Consider all chords of a circle of a fixed length. What is the shape formed by the midpoints Class 9
📄 GuideShow that if a rectangle is inscribed in a circle, then the point of intersection of its diagonals Class 9
Show that if a rectangle is inscribed in a circle, then the point of intersection of its diagonals C
📄 GuideShow that rectangle is the only parallelogram that can be inscribed in a circle. Class 9
Show that rectangle is the only parallelogram that can be inscribed in a circle. Class 9Question 1.S
📄 GuideDraw a circle in which a chord of 6 cm length stands at a distance of 3 cm from the centre. Class 9
Draw a circle in which a chord of 6 cm length stands at a distance of 3 cm from the centre. Class 9Q
📄 GuideConsider a cyclic quadrilateral. Without drawing its circumcircle, how can we find out whether the centre Class 9
Consider a cyclic quadrilateral. Without drawing its circumcircle, how can we find out whether the c
📄 GuideA cyclic quadrilateral has sides 5, 5, 12, 12 units. Find its area. Class 9
A cyclic quadrilateral has sides 5, 5, 12, 12 units. Find its area. Class 9Question 1.A cyclic quadr
📄 GuideThe distance of a chord of length 16 cm from the centre of a circle is 6 cm. Find the radius of the circle. Class 9
The distance of a chord of length 16 cm from the centre of a circle is 6 cm. Find the radius of the
📄 GuideQuadrilateral PQRS is inscribed in a circle. If ∠P = (2x + 10)° and ∠R = (3x - 20)°, find the value of x Class 9
Quadrilateral PQRS is inscribed in a circle. If ∠P = (2x + 10)° and ∠R = (3x - 20)°, find the value
📄 GuideThe diameter of a circle is AB. Point C is on the circumference. What is the measure of the ∠ACB Class 9
The diameter of a circle is AB. Point C is on the circumference. What is the measure of the ∠ACB Cla
📄 GuideProve that the perpendicular bisector of a chord passes through the centre of the circle. Class 9
Prove that the perpendicular bisector of a chord passes through the centre of the circle. Class 9Que
📄 GuideA circle has a radius of 15 cm. A chord is drawn. The distance from the centre of the circle Class 9
A circle has a radius of 15 cm. A chord is drawn. The distance from the centre of the circle Class 9
📄 GuideAn arc of a circle subtends an angle of 70° at the centre. What is the measure of the angle subtended Class 9
An arc of a circle subtends an angle of 70° at the centre. What is the measure of the angle subtende
📄 GuideIn a circle, a chord is 5 cm away from the centre. If the radius of the circle is 13 cm, what is the length Class 9
In a circle, a chord is 5 cm away from the centre. If the radius of the circle is 13 cm, what is the
📄 GuideFind x in the given fig. 5.26. Class 9
Find x in the given fig. 5.26. Class 9Question 1.Find x in the given fig. 5.26. Class 9Solution:∠ADC
📄 GuideLet A and B be two points on a circle with centre O. Are there points X, Y on the circle Class 9
Let A and B be two points on a circle with centre O. Are there points X, Y on the circle Class 9Ques
📄 GuideIn a circle with centre O, the central angle AOB is 60°. If the radius of the circle is 12 cm Class 9
In a circle with centre O, the central angle AOB is 60°. If the radius of the circle is 12 cm Class
📄 GuideExercise: A circle with centre O is drawn, and A, B, C, D are points on the circle Class 9
Exercise: A circle with centre O is drawn, and A, B, C, D are points on the circle Class 9Question 1
📄 GuideIn a circle, if the distance of chord AB from the centre is twice the distance of another chord CD Class 9
In a circle, if the distance of chord AB from the centre is twice the distance of another chord CD C
📄 GuideExplain why the following statement is true: If the perpendicular distance of a chord from the centre Class 9
Explain why the following statement is true: If the perpendicular distance of a chord from the centr
📄 GuideFind the length of the chord of a circle where the radius is 7cm and perpendicular distance is 6 cm. Class 9
Find the length of the chord of a circle where the radius is 7cm and perpendicular distance is 6 cm.
📄 GuideSolve the previous question using the Baudhayana’s-Pythagoras theorem. Class 9
Solve the previous question using the Baudhayana’s-Pythagoras theorem. Class 9Question 1. Solve the
📄 GuideConsider the given fig. 5.15. If CE is perpendicular to AB, CH is perpendicular to GH, and CE = CH Class 9
Consider the given fig. 5.15. If CE is perpendicular to AB, CH is perpendicular to GH, and CE = CH C
📄 GuideUse the Baudhayana-Pythagoras theorem to show why Theorem 6 must be true. Class 9
Use the Baudhayana-Pythagoras theorem to show why Theorem 6 must be true. Class 9Question 1.Use the
📄 GuideActivity: Take a paper circle. Fold the circle from the boundary, inwards. Open the fold. The crease Class 9
Activity: Take a paper circle. Fold the circle from the boundary, inwards. Open the fold. The crease
📄 GuideTwo parallel chords of lengths 6 cm and 8 cm are on opposite sides of the centre of a circle. Class 9
Two parallel chords of lengths 6 cm and 8 cm are on opposite sides of the centre of a circle. Class
📄 GuideAn isosceles triangle ABC is inscribed in a circle, with AB AC. Show that the altitude from A to BC Class 9
An isosceles triangle ABC is inscribed in a circle, with AB AC. Show that the altitude from A to BC
📄 GuideCan you explain why the converse to Theorem 4 is true, i.e., why does the perpendicular from the centre Class 9
Can you explain why the converse to Theorem 4 is true, i.e., why does the perpendicular from the cen
📄 GuideDo we get something special when we draw a line segment from the centre of a circle to the midpoint Class 9
Do we get something special when we draw a line segment from the centre of a circle to the midpoint
📄 GuideShow that if two such isosceles triangles occurring in the previous question have equal base length Class 9
Show that if two such isosceles triangles occurring in the previous question have equal base length
📄 GuideThe circumcircle of a given ∆ABC is drawn. Can there be other triangles congruent to ∆ABC Class 9
The circumcircle of a given ∆ABC is drawn. Can there be other triangles congruent to ∆ABC Class 9Que
📄 GuideWhat is the least possible radius of a circle through two points A and B? Class 9
What is the least possible radius of a circle through two points A and B? Class 9Question 1.What is
📄 GuideDraw ∆ABC with AB = 5 cm, ∠A = 100°, ∠C = 4 cm. Draw the circumcircle of ∆ABC. Class 9
Draw ∆ABC with AB = 5 cm, ∠A = 100°, ∠C = 4 cm. Draw the circumcircle of ∆ABC. Class 9Question 1.Dra
📄 GuideYou are given two points A and B on plane. How many squares can you draw on the same plane Class 9
You are given two points A and B on plane. How many squares can you draw on the same plane Class 9Qu
📄 GuideAre there circles of all possible radii passing through A and B? What is the radius of the smallest Class 9
Are there circles of all possible radii passing through A and B? What is the radius of the smallest
📄 GuideThe locus of points at a given distance from a given point is a circle. What can we say about Class 9
The locus of points at a given distance from a given point is a circle. What can we say about Class
📄 GuideWhat are the rotational symmetries of a square? How many lines of reflection symmetry Class 9
What are the rotational symmetries of a square? How many lines of reflection symmetry Class 9Questio
📄 GuideCan you recognise the origin of the shapes in the given figure? Class 9
Can you recognise the origin of the shapes in the given figure? Class 9Question 1.Can you recognise
📄 GuideFind the value of i. x³ + y³ - 12xy + 64, when x + y = - 4 Class 9
Find the value of i. x³ + y³ - 12xy + 64, when x + y = - 4 Class 9Question 1.Find the value ofi. x³
📄 GuideBy factoring the expression, check that n³ - n is always divisible by 6 for all natural Class 9
By factoring the expression, check that n³ - n is always divisible by 6 for all natural Class 9Quest
📄 GuideIf a + b + c = 5 and ab + bc + ca = 10, then prove that a³ + b³ + c³ - 3abc = - 25. Class 9
If a + b + c = 5 and ab + bc + ca = 10, then prove that a³ + b³ + c³ - 3abc = - 25. Class 9Question
📄 GuideIf both x - 2 and x - 1/2 are factors of px² + 5x + r, show that p = r. Class 9
If both x - 2 and x - 1/2 are factors of px² + 5x + r, show that p = r. Class 9Question 1. If both x
📄 GuideA rectangular pool has area 2x² + 7x + 3 square hastas. If its width is 2x + 1 hastas find its length Class 9
A rectangular pool has area 2x² + 7x + 3 square hastas. If its width is 2x + 1 hastas find its lengt
📄 GuideIf a number plus its reciprocal equals 10/3, find the number. Class 9
If a number plus its reciprocal equals 10/3, find the number. Class 9Question 1. If a number plus it
📄 GuideThe village playground is shaped as a square of side 40 metres. A path of width Class 9
The village playground is shaped as a square of side 40 metres. A path of width Class 9Question 1. T
📄 GuideFind possible expressions for the length, breadth, and heights of each of the following cuboids Class 9
Find possible expressions for the length, breadth, and heights of each of the following cuboids Clas
📄 GuideFind possible expressions for the length and breadth of each of the following rectangles Class 9
Find possible expressions for the length and breadth of each of the following rectangles Class 9Ques
📄 GuideSimplify the following: Class 9
Simplify the following: Class 9Question 1.Simplify the following: Class 9i. $\quad \frac{4 x^2+4 x+1
📄 GuideFactor the following algebraic expressions: Class 9
Factor the following algebraic expressions: Class 9Question 3.Factor the following algebraic express