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In Figure, if /B A C=60^0\ a n d\ /B C...

In Figure, if `/_B A C=60^0\ a n d\ /_B C A=20^0,\ ` find `/_A D C`

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To solve the problem, we need to find the angle \( \angle A D C \) in the given cyclic quadrilateral \( ABCD \) where \( \angle B A C = 60^\circ \) and \( \angle B C A = 20^\circ \). ### Step-by-Step Solution: 1. **Identify the Angles in Triangle ABC**: - Given \( \angle B A C = 60^\circ \) and \( \angle B C A = 20^\circ \). - Let \( \angle A B C = x \). ...
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A B C D is a cyclic quadrilateral in which: B C A D ,\ /_A D C=110^0\ a n d\ /_B A C=50^0dot Find /_D A C /_D B C=80^0\ a n d\ /_B A C=40^0dot Find /_B C D /_B C D=100^0a n d\ /_A B D=70^0 find /_A D B

In Figure, if E C A B , /_E C D=70^0A N D /_B D O=20^0 , then /_O B D is: 20^0 (b) 50^0 (c) 60^0 (d) 70^0

The diagonals of a parallelogram A B C D intersect at O . If /_B O C=90^0\ a n d\ /_B D C=50^0, then /_O A B= 40^0 (b) 50^0 (c) 10^0 (d) 90^0

In a parallelogram A B C D , the diagonals bisect each other at Odot If /_A B C=30^0,\ /_B D C=10^0a n d\ /_C A B=70^0, Find: /_D A B ,\ /_A D C ,\ /_B C D ,\ /_A O D ,\ /_D O C ,\ /_B O C ,\ /_A O B ,\ /_A C D ,\ /_C A B ,\ /_A D B

In Figure, if A B||C D , /_A P Q=50^0A N D /_P R D=127^0, find x a n d y

In a parallelogram A B C D , if /_D A B=75^0a n d\ /_D B C=60^0, then /_B D C= (a) 75^0 (b) 60^0 (c) 45^0 (d) 55^0

D is a point on the side B C of A B Cdot A line P D Q , though D , meets side A C in P a n d A B produced at Q . If /_A=80^0, /_A B C=60^0 and /_P D C=15^0 find (i) /_A Q D (ii) /_A P Ddot

In Figure, P Q||R S , /_A E F=95^0, /_B H S=110^0 a n d /_A B C=x^0dot Then the value of x is (a)15^0 (b) 25^0 (c) 70^0 (d) 35^0

The side B C of A B C is produced to a point Ddot The bisector of /_A meets side B C in Ldot If /_A B C=30^0a n d /_A C D=115^0, then /_A L C= 85^0 (b) 72 1/2^0 (c) 145^0 (d) none of these

In Fig. 71, if A B C D\ a n d\ C D E F ,\ find \ /_A C E

RD SHARMA-CIRCLE -All Questions
  1. In a cyclic quadrilateral A B C D , if /A=3 /C). Find /A

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  2. In Figure, O is the centre of the circle and /D A B=50^0dot Calculat...

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  3. In Figure, if /B A C=60^0\ a n d\ /B C A=20^0,\ find /A D C

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  4. In Figure, if A B C is an equilateral triangle. Find /B D C\ a n d\ ...

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  5. In Figure, O is the centre of the circle. If /C E A=30^0, find the v...

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  6. In Figure, /B A D=78^0,\ /D C F=x^0a n d\ /D E F=y^0dot Find the val...

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  7. In a cyclic quadrilateral A B C D , if /A-\ /C=60^0, prove that th...

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  8. In Figure, A B C D is a cyclic quadrilateral. Find the value of x

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  9. A B C D is a cyclic quadrilateral in which: B C A D ,\ /A D C=110^0...

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  10. Prove that the perpendicular bisectors of the sides of a cyclic quad...

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  11. Prove that the centre of the circle circumscribing the cyclic rectan...

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  12. Prove that the circle drawn with any side of a rhombus as diameter, ...

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  13. If the two sides of a pair of opposite sides of a cyclic quadrilater...

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  14. A B C D is a cyclic quadrilateral in which B A\ a n d\ C D when pr...

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  15. Prove that the angle in a segment greater than a semi-circle is less...

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  16. A B C D is a cyclic trapezium with A D B Cdot If /B=70^0, determine...

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  17. Prove that the line segment joining the mid-point of the hypotenuse ...

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  18. A B C D is a cyclic quadrilateral in which A C\ a n d\ B D are its d...

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  19. In Figure, two circles intersect at A\ a n d\ B . The centre of th...

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  20. In Figure, two congruent circles with centers O\ a n d\ O ' intersec...

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