Home
Class 10
MATHS
A (2, 5), B (-1, 2) and C (5, 8) are the...

A (2, 5), B (-1, 2) and C (5, 8) are the co-ordinates of the vertices of the triangle ABC. Points P and Q lie on AB and AC respectively, such that : AP: PB = AQ: QC = 1:2.
Calculate the co-ordinates of P and Q.

Text Solution

Verified by Experts

The correct Answer is:
P= (1,4) and Q= (3,6)
Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE REVISION EXERCISE

    ICSE|Exercise CHAPTERWISE REVISION EXERCISE (EQUATIONS OF STRAIGHT LINES)|12 Videos
  • CHAPTERWISE REVISION EXERCISE

    ICSE|Exercise CHAPTERWISE REVISION EXERCISE (SIMILARITY)|10 Videos
  • CHAPTERWISE REVISION EXERCISE

    ICSE|Exercise CHAPTERWISE REVISION EXERCISE (REFLECTION)|10 Videos
  • BANKING (RECURRING DEPOSIT ACCOUNTS)

    ICSE|Exercise QUESTIONS|7 Videos
  • CIRCLES

    ICSE|Exercise EXERCISE 17( C ) |28 Videos

Similar Questions

Explore conceptually related problems

A (2, 5), B (-1, 2) and C (5, 8) are the co-ordinates of the vertices of the triangle ABC. Points P and Q lie on AB and AC respectively, such that : AP: PB = AQ: QC = 1:2. Show that : PQ = (1)/(3) BC .

A(-8, O), B(0, 16) and C(0, 0) are the vertices of a triangle ABC. Point P lies on AB and Q lies on AC such that AP : PB = 3 : 5 and AQ: QC = 3:5. Show that : PQ = (3)/(8) BC.

In a triangle A B C , let P and Q be points on AB and AC respectively such that P Q || B C . Prove that the median A D bisects P Q .

Find the co-ordinates of the circumecentre of the triangle ABC, whose vertices A, B and C are (4, 6), (0,4) and (6,2) respectively.

A (1, 4), B (3, 2) and C (7,5) are vertices of a triangle ABC. Find : the co-ordinates of the centroid of triangle ABC.

Calculate the co-ordinates of the centroid of the triangle ABC, if A = (7, -2), B = (0, 1) and C = (-1, 4).

A (8,0), B (0,-8) and C (-16, 0) are the vertices of a triangle ABC. If P is in AB and Q is in AC such that AP : PB = AQ : QC =3:5, show that 8PQ = 3 BC.

Find the co-ordinates of the centroid of a triangle ABC whose vertices are : A(-1, 3), B(1, -1) and C(5, 1)

ABCD is a square. P, Q and Rare the points on AB, BC and CD respectively, such that AP = BQ = CR. Prove that: PB = QC

The co-ordinates of two points P and Q are (2, 6) and (-3, 5) respectively. Find : the gradient of PQ.