Q. 535.0( 1 Vote )

Assertion - and - Reason Type

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:


A. Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A)

B. Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

C. Assertion (A) is true and Reason (R) is false.

D. Assertion (A) is false and Reason (R) is true.

Answer :


Let us consider a circle with center O and radius 12 cm


A tangent PQ is drawn at point P such that PQ = 16 cm


To Find : Length of OQ


Now, OP PQ [Tangent at any point on the circle is perpendicular to the radius through point of contact]


In right - angled POQ,


By Pythagoras Theorem


[i.e. (hypotenuse)2 = (perpendicular)2 + (base)2 ]


(OQ)2 = (OP)2 + (PQ)2


(OQ2 = (12)2 + (16)2


625 = 144 + 256


(OQ)2 = 400


OQ = 20 cm


So,


Assertion is correct, and Reason is also correct.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Imp. Qs. on CircleQuiz | Imp. Qs. on CircleQuiz | Imp. Qs. on Circle35 mins
Quiz | Imp. Qs. on CirclesQuiz | Imp. Qs. on CirclesQuiz | Imp. Qs. on Circles37 mins
Quiz | Testing Your Knowledge on CirclesQuiz | Testing Your Knowledge on CirclesQuiz | Testing Your Knowledge on Circles32 mins
Short Cut Trick to Find Area of TriangleShort Cut Trick to Find Area of TriangleShort Cut Trick to Find Area of Triangle43 mins
Quiz | Areas Related to CirclesQuiz | Areas Related to CirclesQuiz | Areas Related to Circles43 mins
RD Sharma |  Area of Sector and SegmentsRD Sharma |  Area of Sector and SegmentsRD Sharma | Area of Sector and Segments25 mins
Quiz | Area Related with CirclesQuiz | Area Related with CirclesQuiz | Area Related with Circles47 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses