NCERT Class 9
1. Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?
15
Oct
1. Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points? 1. Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points? October 15, 2020 Category: Chapter 10 - Circles , [...]
2. Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.
15
Oct
2. Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal. 2. Prove that if chords of congruent circles subtend equal angles at their centres then the chords are equal. October 15, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 9 ,
1. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.
15
Oct
1. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres. 1. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres. October 15, 2020 [...]
2. Write True or False: Give reasons for your Solutions. (i) Line segment joining the centre to any point on the circle is a radius of the circle. (ii) A circle has only finite number of equal chords. (iii) If a circle is divided into three equal arcs, each is a major arc. (iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle. (v) Sector is the region between the chord and its corresponding arc. (vi) A circle is a plane figure.
15
Oct
2. Write True or False: Give reasons for your Solutions. (i) Line segment joining the centre to any point on the circle is a radius of the circle. (ii) A circle has only finite number of equal chords. (iii) If a circle is divided into three equal arcs, each is a major arc. (iv) A [...]
1. Fill in the blanks: (i) The centre of a circle lies in ____________ of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater than its radius lies in __________ of the circle. (exterior/ interior) (iii) The longest chord of a circle is a _____________ of the circle. (iv) An arc is a ___________ when its ends are the ends of a diameter. (v) Segment of a circle is the region between an arc and _____________ of the circle. (vi) A circle divides the plane, on which it lies, in _____________ parts.
15
Oct
1. Fill in the blanks: (i) The centre of a circle lies in ____________ of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater than its radius lies in __________ of the circle. (exterior/ interior) (iii) The longest chord of a circle is a _____________ of the [...]
Example 4 : In Fig. 9.22, ABCD is a quadrilateral and BE ∣∣ AC and also BE meets DC produced at E. Show that area of ΔADEis equal to the area of the quadrilateral ABCD.
15
Oct
Example 4 : In Fig. 9.22, ABCD is a quadrilateral and BE ∣∣ AC and also BE meets DC produced at E. Show that area of ΔADEis equal to the area of the quadrilateral ABCD. ABCD is a quadrilateral and BE ∣∣ AC and also BE meets DC produced at E. Show that area of [...]
Example 3 : Show that median of a triangle divides it into two triangles of equal area.
15
Oct
Example 3 : Show that median of a triangle divides it into two triangles of equal area. Example 3 : Show that median of a triangle divides it into two triangles of equal area. October 15, 2020 Category: Chapter 9 - Areas of Parallelogram and Triangles , Maths , NCERT Class 9 ,
Example 2 : If a triangle and a parallelogram lie on the same base and between the same parallels, then prove that area of the triangle is equal to half of the area of parallelogram.
15
Oct
Example 2 : If a triangle and a parallelogram lie on the same base and between the same parallels, then prove that area of the triangle is equal to half of the area of parallelogram. Example 2 : If a triangle and a parallelogram lie on the same base and between the same parallels then [...]
Example 1 : In Fig. 9.13, ABCD is a parallelogram and EFCD is a rectangle. Also, AL⊥DC. Prove that (i) ar (ABCD) = ar (EFCD) (ii) ar (ABCD) = DC × AL
15
Oct
Example 1 : In Fig. 9.13, ABCD is a parallelogram and EFCD is a rectangle. Also, AL⊥DC. Prove that (i) ar (ABCD) = ar (EFCD) (ii) ar (ABCD) = DC × AL ABCD is a parallelogram and EFCD is a rectangle. Also AL⊥DC. Prove that (i) ar (ABCD) = ar (EFCD) (ii) ar (ABCD) = [...]
16. In Fig.9.29, ar(DRC) = ar(DPC) and ar(BDP) = ar(ARC). Show that both the quadrilaterals ABCD and DCPR are trapeziums.
15
Oct
16. In Fig.9.29, ar(DRC) = ar(DPC) and ar(BDP) = ar(ARC). Show that both the quadrilaterals ABCD and DCPR are trapeziums. 16. In Fig.9.29 ar(DRC) = ar(DPC) and ar(BDP) = ar(ARC). Show that both the quadrilaterals ABCD and DCPR are trapeziums. October 15, 2020 Category: Chapter 9 - Areas of Parallelogram and Triangles , Maths , [...]