Q. 495.0( 1 Vote )

In what ratio does the x-axis divide the area of the region bounded by the parabolas y = 4x – x2 and y = x2 – x?

Answer :



Let us find the intersection points first,


We have the equations of curves,


y = 4 x – x2 …….(1)


y = x2 – x ………(2)


From (1) and (2) we can get,


x2 – x = 4 x – x2


2 x2 – 5x = 0


x(2 x – 5) = 0


x = 0 or x = 5/2


Putting these values of x in equation (2) we get,


At x = 0,


Y = 02 – 0 = 0


At x = 5/2



Hence intersection points are (0, 0) and


Area bounded by the curves is shown by the shaded region of the figure shown above.


Area of shaded region =


Area of shaded region =


Area of Shaded Region =


Area of Shaded Region = Square units.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Microsporogenesis & MegasporogenesisMicrosporogenesis & MegasporogenesisMicrosporogenesis & Megasporogenesis49 mins
Interactive Quiz on Microbes in Human WelfareInteractive Quiz on Microbes in Human WelfareInteractive Quiz on Microbes in Human Welfare29 mins
Meselson and Stahl experimentMeselson and Stahl experimentMeselson and Stahl experiment49 mins
DNA FingerprintingDNA FingerprintingDNA Fingerprinting42 mins
NEET 2021 | Transcription - An important TopicNEET 2021 | Transcription - An important TopicNEET 2021 | Transcription - An important Topic62 mins
Interactive Quiz on Molecular basis of Inheritance-02Interactive Quiz on Molecular basis of Inheritance-02Interactive Quiz on Molecular basis of Inheritance-0234 mins
Interactive Quiz on Sexual Reproduction in flowering plantsInteractive Quiz on Sexual Reproduction in flowering plantsInteractive Quiz on Sexual Reproduction in flowering plants44 mins
Pedigree chartPedigree chartPedigree chart58 mins
Basic Quiz on  Sexual Reproduction in Flowering PlantsBasic Quiz on  Sexual Reproduction in Flowering PlantsBasic Quiz on Sexual Reproduction in Flowering Plants53 mins
Different high order thinking questions based on DNA structureDifferent high order thinking questions based on DNA structureDifferent high order thinking questions based on DNA structure39 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses