Ncert-maths-Circles-Set A Welcome to your Ncert-maths-Circles-Set A 1. 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? 90 72 108 36 None 2. If three points are collinear, then we can draw a circle using given points. True None of these False May be None 3. 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 2 (cosA+cosD) 2 (cosA+cosB ) 4 cos A 0 None 4. Given that A(1,0),B(3,6),C(2,1). Can we draw a circle using points A,B and C. Yes Can't say anything No None of these None 5. 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 √101 √411 None 6. Sum of opposite angles in a cyclic quadrilateral is: 360º 180º 90º 270º None 7. ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC=140º, then ∠BAC is equal to: 80º 40º 30º 50º None 8. How many circles can be drawn using given three non-collinear points? 1 Infinite 0 6 None 9. 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 $$\frac {g^{2}+f^{2}-c }{ 2\sqrt{g^{2}+f^{2}} }$$ $$\frac {g^{2}+f^{2}-c }{ 2 }$$ $$\frac {g^{2}+f^{2} +c }{ 2\sqrt{g^{2}+f^{2}} }$$ $$\sqrt{g^{2}+f^{2}-c }$$ None 10. 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. 14cm 20cm 18cm 12cm None 11. 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 80 85 75 None 12. 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= 204 2018 504 298 None 13. Any cyclic parallelogram is a ______. rhombus rectangle square trapezium None 14. 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,12 cm 7 cm,17 cm 5 cm,17 cm 7 cm,13 cm None 15. 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 AB None of these. None 16. If the length of the chord increase its perpendicular distance from the centre Constant Equal Increases Decreases None 17. 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 3 ≤ x²+y²≤ 9 x²+y²≤ 20 x²+y²≤ 25 4 ≤ x²+y²≤ 64 None 18. What will be the area of the largest square that can be cut out of a circle of radius 10 cm? 200 cm² 400 cm² 100 cm² 300 cm² None 19. 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 50º 130º None 20. 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 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.
