Bissoy.com
Doctors Medicines MCQs Q&A

From the diagram given below, if O is the centre of the circle and OL is perpendicular to chord AB, then which of the following is true?

From the diagram given below, if O is the centre of the circle and OL is perpendicular to chord AB, then which of the following is true? Correct Answer AL = LB

According to theorem 10.2, perpendicular from the centre of a circle to a chord bisects the chord. Therefore, AL = LB.

Related Questions

For realizing a binary half-subtractor having two inputs A and B, the current set of logical expression for the outputs D (A minus B) and X (borrow) are 1. The difference output D = A̅B + AB̅ 2. The borrow output B = AB̅ Which of the above statements is/are correct? 
AB is the chord of circle of length 6 cm. From the center of the circle a perpendicular is drawn which intersects the chord at D and distance between centre and chord is 4 cm. find the area (in cm2) of the circle)
AB is the chord of circle of length 6 cm. From the center of the circle a perpendicular is drawn which intersects the chord at D and distance between centre and chord is 4 cm. find the area (in cm2) of the circle)
Which of the following statements is/are true? A: If a circle is formed from a wire, which was initially in the shape of a semi-circle, then ratio of radius of circle and that of semi-circle will be 7: 11. B: If in a semi-circle of radius ‘r’, another semi-circle of radius ‘4r/5’ is drawn, then area of the remaining part of larger semi-circle will be ‘3πr2/5’. C: In a circle of radius ‘r’, if ‘O’ is the center of circle and radii OA and OB are at the angle of 45°, then the length of major arc AB will be ‘7πr/8’.
In a circle of radius 17 cm, AB is a chord which is perpendicular to the diameter CD of that circle. If the length of chord BD is 5√34 cm, then what is the length of chord AB?
Consider a circle with centre at C. Let OP, OQ denote respectively the tangents to the circle drawn from a point O outside the circle. Let R be a point on OP and S be a point on OQ such that OR × SQ = OS × RP. Which of the following statement(s) is/are correct? (1) If X is the circle with centre at O and radius OR, and Y is the circle with centre at O and radius OS, then X = Y (2) ∠POC + ∠QCO = 90° Select the correct answer using the code given below.
Which of the following statements is/are true? A: In a circle, PQ is a chord and OP and OQ are the radii of the circle. If ∠POQ = 90°, then ratio of the area of triangle POQ and that of circle will be 7: 22. B: Area of a circle is one-fourth of the product of ‘π’ and square of diameter of circle. C: Diameter of a semi-circle is 38(8/9)% of its perimeter.
Two concentric circles with centre O has a common chord AB of length 18 cm which intersects the smaller circle at points C and D. Radius of smaller circle is 6 cm and BP is the tangent to the smaller circle of length 8 cm. Find the length of the chord CD to the smaller circle.
Which of the following statements is/are true? A: If a chord of a circle bisects the radius of circle, then the angle formed by the chord at the center will be right angle. B: The shortest distance of a tangent from the center of a circle is equal to the radius of the circle. C: The circumcenter of a right-angled triangle is always on the hypotenuse of the triangle.
Consider a circle with centre at O and radius 7 cm. Let QR be the chord of length 2 cm and let P be the midpoint of QR. Let CD be another chord of this circle passing through P such that ∠CPQ is acute. If M is the midpoint of CD and MP = √24 cm, then which of the following statements are correct? (1) ∠QPD = 135° (2) If CP = m cm and PD = n cm, then m and n are the roots of the quadratic equation x2 – 10x + 1 = 0 (3) The ratio of triangle OPR to the area of triangle OMP is 1 ∶ 2√2 Select the correct answer using the code given below.