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ABC is a triangle, X is a point outside ...

ABC is a triangle, X is a point outside the triangle ABC such that CD = CX, where D is the point of intersection of BC and AX, and `angle BAX = angleXAC`. Which one of the following is correct?

A

`DeltaABD and DeltaACX` are similar

B

`angleABD lt angleACD`

C

`AC = CX`

D

`angleADB gt angleDXC`

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The correct Answer is:
A
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LUCENT PUBLICATION-CENTRE OF TRIANGLE-EXERCISE-6A
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  2. ABC is a given triangle. AD, BE and CF are altitudes of DeltaABC. As...

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  3. ABC is a triangle, X is a point outside the triangle ABC such that CD ...

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  4. What is the number of points in the plane of a triangle ABC which are ...

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  5. In a triangle ABC, internal bisector of angleABC and external bisector...

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  6. The median BD of the triangle ABC meets AC at D. If BD = 1/2AC , then ...

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  7. In the given figure, M is the mid point of line segment AB whose lengt...

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  8. The point of concurrence of the altitudes of a triangle is called

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  9. What is the number of circles passing through all the vertices of a gi...

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  10. Consider the following statements : Statement-I: Let PQR be a triang...

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  11. ABC is a triangle and AD is perpendicular to BC. It is given that the ...

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  12. The centroid of a triangle ABC is 8 cm from the vertex A. What is the ...

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  13. If distance of a vertex of an equilateral triangle from its centroid i...

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  14. In DeltaPQR, PQ = 4 cm, QR = 3 cm and RP = 3.5 cm, DeltaDEF is similar...

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  15. In DeltaABC AD is angle bisector such that BD : DC = 2 : 3. If AB = 7...

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  16. Assertion (A) : AD is angle bisector of angleA of the triangle ABC. If...

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  17. O is the incentre of ABC and angleA=30^(@). Accordingly what is angleB...

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  18. O is centroid of DeltaABC and AD, BE, CF are its three medians. If are...

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  19. O and C are respectively orthocentre and circumcentre of a Delta PQR. ...

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  20. From the circumcentre O of traingle ABC , perpendicular OD is drawn ...

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