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A point A divides the join of P(-5,1) an...

A point `A` divides the join of `P(-5,1)` and `Q(3,5)` in the ratio `k :1` . Then the integral value of `k` for which the area of ` A B C ,` where `B` is `(1,5)` and `C` is `(7,-2)` , is equal to 2 units in magnitude is___

A

`7,30/9`

B

`7,31/9`

C

`4,31/9`

D

`7,31/3`

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The correct Answer is:
B
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DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 1: CONCEPT BUILDER
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  2. The coordinates of the point Aa n dB are (a,0) and (-a ,0), respect...

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  3. A point A divides the join of P(-5,1) and Q(3,5) in the ratio k :1 . T...

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  4. The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) ...

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  5. Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled ...

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  6. All points lying inside the triangle formed by the points (1. 3). (5, ...

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  7. The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...

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  8. Let A(2,-3)a n dB(-2,1) be vertices of a triangle A B Cdot If the cent...

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  9. A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , under...

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  10. The ends of the base of an isosceles triangle are at (2a, 0)and (0, a)...

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  11. The point (x,y) lies on the line with slope m and passes through the f...

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  12. The two linesax+by=cand a'x+b'y=c' are perpendicular if

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  13. The slopes of the lines which make an angle 45^@ with the line 3x-y=-5...

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  14. The lines x+2y-5=0, 2x-3y+4=0,6x+4y-13=0

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  15. Two points P(a,0) and Q(-a,0) are given, R is a variable on one side o...

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  16. Consider the equation sqrt(3)x+y-8=0 I. Normal form of the given equ...

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  17. The diagonals of the parallelogram whose sides are lx+my+n = 0,lx+ my+...

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  18. The equation of a straight line which cuts off an intercept of 5 units...

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  19. A ray of light passsing through a point (1,2) is reflected on the x-ax...

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  20. The inclination of the line x-y+3=0 with the positive direction of x-a...

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