NCERT Maths Circles

Q) Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre. 9th Class Maths – NCERT Important Questions Ans: Step 1: Let’s make a diagram for better understanding of the question: Here, PT is the tangent to a circle with center O. We have drawn QT […]

Q) Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre. 9th Class Maths – NCERT Important Questions Ans: Step 1: Let’s make a diagram for better understanding of the question: Here, PT is the tangent to a circle with center O. We have drawn QT

Q) If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lies on the third side. 9th Class Maths – NCERT Important Questions Ans: Step 1: Let’s make a diagram for better understanding of the question: Here, in Δ PQR, 2 circles are drawn –

Q) Prove that the circle drawn with any side of a rhombus as diameter passes through the point of intersection of its diagonals. 9th Class Maths – NCERT Important Questions Ans: Step 1: Let’s make a diagram for better understanding of the question: Here, AB is the side of a rhombus and also diameter of

Q) Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segment joining the points of contact at the centre.  9th Class Maths – NCERT Important Questions Ans: Step 1: Let’s make a diagram for better understanding of the question: Here,

Q) A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc. 9th Class Maths – NCERT Important Questions Ans: Step 1: Let’s make a diagram for better understanding of

Q) Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle. 9th Class Maths – NCERT Important Questions Ans: Step 1: Let’s make a diagram for better understanding of the question: Here, side AB subtends ∠ AOB at center and its opposite side CD subtends ∠

Q) The length of a tangent from point A at a distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle. 9th Class Maths – NCERT Important Questions Ans: Step 1: Let’s make a diagram for better understanding of the question: Given that the distance OA = 5

Q) A, B, C and D are four points on a circle. AC and BD intersect at a point E, such that ∠ BEC = 130° and ∠ ECD = 20°. Find BAC. 9th Class Maths – NCERT Important Questions Ans: Step 1: Let’s make a diagram for better understanding of the question: Here we

Q) Prove that the tangents drawn at the ends of a diameter of a circle are parallel. 9th Class Maths – NCERT Important Questions Ans: Step 1: Let’s make a diagram for better understanding of the question: Here PQ is the diameter of the circle with center O. AB and CD are the two tangents,