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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

Let points A and C be lying on straight lines 4 y=3 x and x=0 respectively. If point (6,2) is lying on the straight line A C and rhombus O A B C is completed where O is the origin and B lies in first quadrant, then find the area of the rhombus (in sq. units).

Correct answer

20

Step-by-step solution

aligned 2 & = 2 - 2 & = = 4 3 2 1- ^2 & = 4 3 = 1 2 aligned Now, slope of O B= ( + )= + 1- = 1 2 + 3 4 1- 1 2 ( 3 4 ) =2 Slope of A C= -1 2 Equation of A C y-2=- 1 2 (x-6) x+2 y=10 gathered C (0,5) Area of rhombus =2 Ar .( O A C)= 1 2 2 5 2 =25 4 5 =20 gathered

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