Ncert-maths-Circles-Set A Welcome to your Ncert-maths-Circles-Set A 1. In a circle of radius 13 cm,PQ and RS are two parallel chords of lengths 24 cm and 10 cm respectively. Calculate the distance between the chords if they are (i) on the same side of the center and (ii) on the opposite sides of the center. 5 cm,17 cm 7 cm,17 cm 7 cm,13 cm 5 cm,12 cm None 2. Consider a circle with center O and radius = 20cm. Find the perpendicular distance of a chord of length 32cm from the center of the circle. 20cm 14cm 12cm 18cm None 3. Any cyclic parallelogram is a ______. rhombus square rectangle trapezium None 4. ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC=140º, then ∠BAC is equal to: 40º 80º 30º 50º None 5. If the length of the chord increase its perpendicular distance from the centre Increases Constant Decreases Equal None 6. A,B,C and D be the angles of cyclic quadrilateral taken order , then cos(180º+A)+cos(180º+B)+cos(180º +C)+cos(180º +D)is equal to 4 cos A 0 2 (cosA+cosD) 2 (cosA+cosB ) None 7. If three points are collinear, then we can draw a circle using given points. May be True False None of these None 8. The circumcirlce of the quadrilateral formed by the lines x=a,x=2a,y= −a,y=a is X² +y² -3ax -a² =0 X² -y² -3ax -a² =0 X² +y² -3ax -a² =0 X² +y² +3ax +a² =0 X² +y² -3ax +a² =0 None 9. Four alternative answers for the following question is given. Choose the correct alternative.,In a cyclic quadrilateral ABCD, twice the measure of ∠A is thrice the measure of ∠C. Find the measure of ∠C? 36 108 72 90 None 10. Given that A(1,0),B(3,6),C(2,1). Can we draw a circle using points A,B and C. Yes No None of these Can't say anything None 11. How many circles can be drawn using given three non-collinear points? Infinite 6 0 1 None 12. ABCD is cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC=130º , then the value of ∠ABC is: 150º 16º 130º 50º None 13. The centres of a set of circle,each of radius 3, lies on the circle x²+y²=25. The locus of any point in the set is x²+y²≤ 25 3 ≤ x²+y²≤ 9 4 ≤ x²+y²≤ 64 x²+y²≤ 20 None 14. A square is inscribed in the circle X²+y²−6x+8y−103=0 with its sides parallel to the coordinate axes . Then the distance of the vertex of this square which is nearest to the origin is : 123 √41 √411 √101 None 15. What will be the area of the largest square that can be cut out of a circle of radius 10 cm? 300 cm² 200 cm² 400 cm² 100 cm² None 16. Distance between chords of contact of the tangents of the circle x ²+y ² +2yx+27y+c=0 from the origin and the point (g,f) is $$\sqrt{g^{2}+f^{2}-c }$$ $$\frac {g^{2}+f^{2}-c }{ 2\sqrt{g^{2}+f^{2}} }$$ $$\frac {g^{2}+f^{2} +c }{ 2\sqrt{g^{2}+f^{2}} }$$ $$\frac {g^{2}+f^{2}-c }{ 2 }$$ None 17. Sum of opposite angles in a cyclic quadrilateral is: 90º 270º 180º 360º None 18. In a circle of radius 2018 having center at O, OPQR is a rectangle with Q on the circumference of the circle. P,R points inside the circle such that PQ=504. Then PR= 298 504 204 2018 None 19. Consider a circle with center O and radius = 24cm. AB = 20cm and CD = 14cm are two chords of the circle. Which chord is farther away from the centre? Both are equidistant from the centre CD None of these. AB None 20. Two tangents PQ and PR drawn to the circle x²+y² −2x−4y−20=0 from the point P(16,7). If is the centre of the circle, area of quadrilateral PQCR is 75 85 80 None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
