Q. 94.3( 3 Votes )

If the distance between the points (3, a) and (4, 1) be then the value of a will be:
A. 3, –1

B. 2, –2

C. 4, –2

D. 5, –3

Answer :

Using the distance formula, the distance between the points (3, a) and (4, 1)


√10 =


=


=


=


Squaring both sides, we get


a2 – 2a +2 = 10


a2 – 2a – 8 = 0


a2 – 4a + 2a – 8 = 0


a (a – 4)+ 2 (a – 4) = 0


(a – 4) (a + 2) = 0


Either a = 4 or a = –2.


The correct option is C.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Chemical Co-ordination VS Neural Co-ordinationChemical Co-ordination VS Neural Co-ordinationChemical Co-ordination VS Neural Co-ordination48 mins
Quiz | Chemical Co-ordinationQuiz | Chemical Co-ordinationQuiz | Chemical Co-ordination47 mins
Some Interesting Proofs in GeometrySome Interesting Proofs in GeometrySome Interesting Proofs in Geometry36 mins
Section FormulaSection FormulaSection Formula30 mins
Quiz | Neural  Co-ordinataionQuiz | Neural  Co-ordinataionQuiz | Neural Co-ordinataion51 mins
Previous Year RMO QuestionsPrevious Year RMO QuestionsPrevious Year RMO Questions43 mins
NCERT | Most Important Proofs for BoardsNCERT | Most Important Proofs for BoardsNCERT | Most Important Proofs for Boards28 mins
Foundation | Human Endocrine SystemFoundation | Human Endocrine SystemFoundation | Human Endocrine System58 mins
Human BrainHuman BrainHuman Brain52 mins
Tropic and Nastic MovementsTropic and Nastic MovementsTropic and Nastic Movements32 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