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Consider the following statements : St...

Consider the following statements :
Statement-I: Let PQR be a triangle in which PQ = 3 cm, QR = 4 cm and RP = 5 cm. If D is a point in the plane of the triangle PQR such that D is either outside it or inside it, then
`DP + DQ + DR gt 6 cm.`
Statement-II : PQR is a right-angled triangle. Which one of the following is correct in respect of the above two statements ?

A

Both statement I and II are true and statement II is a correct explanation of statement I.

B

Both statements I and II are true but statement II is not the correct explanations of statement I.

C

Statement I is true and statement II is false.

D

Statement I is false and statement II is correct.

Text Solution

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The correct Answer is:
A
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LUCENT PUBLICATION-CENTRE OF TRIANGLE-EXERCISE-6A
  1. The point of concurrence of the altitudes of a triangle is called

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

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

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

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

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

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

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

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

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

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

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

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

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  14. O is the circumcentre of a triangle ABC. If angleBAC=85^(@) and angleB...

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  15. ABC is a triangle median CD and BE intersects at point O then find the...

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  16. Let O be the in-centre of a triangle ABC and D be a point on the side ...

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  17. The radius of incirlce of an equilateral triangle is 3 cm. What is the...

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  18. I is the incentre of the triangle ABC. If angleABC=60^(@) and angleACB...

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  19. Which groups of centres of a triangle given below always lie in a stra...

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  20. If distance betweenn orthocentre and circumcentre of a triangle is 6 c...

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