Topics

Two points A and B have co-ordinates (1, 1) and (3, -2) respectively. The co-ordinates of a point distant \( \Large \sqrt{85} \) from B on the line through B perpendicular to AB are:


A) (5, 7)

B) (7, 4)

C) (4, 7)

D) (-5, -3)

Correct Answer:
A) (5, 7)

Description for Correct answer:

The option and finding the distance, which is equal to \( \Large \sqrt{85} \)

Taking point \( \Large P \left(5,\ 7\right) \)



\( \Large BP = \sqrt{ \left(5-3\right)^{2}+ \left(7+2\right)^{2} } = \sqrt{4+81} = \sqrt{85} \)

Hence, option (C) is correct.


Part of solved Straight lines questions and answers : >> Elementary Mathematics >> Straight lines




Comments
No comments available




Similar Questions
1). The equation of pair of lines joining origin to the points of intersection of \( \Large x^{2}+y^{2}=9 \) and \( \Large x+y=3 \) is:
A). \( \Large x^{2}+ \left(3-x^{2}\right)=9 \)
B). \( \Large \left(3+y\right)^{2}+y^{2}=9 \)
C). \( \Large xy=0 \)
D). \( \Large \left(x-y\right)^{2}=9 \)
-- View Answer
2). Separate equations of lines for a pair of lines whose equation is \( \Large x^{2}+xy-12y^{2}y^{2}=0 \), are
A). \( \Large x+4y=0\ and\ x+3y=0 \)
B). \( \Large x+4y=0\ and\ x-3y=0 \)
C). \( \Large x-6y=0\ and\ x-3y=0 \)
D). \( \Large 2x-3y=0\ and\ x-4y=0 \)
-- View Answer
3). The equation \( \Large 12x^{2}+7xy+ay^{2}+13x-y+3=0 \) represents a pair of perpendicular lines. Then the value of 'a' is:
A). \( \Large \frac{7}{2} \)
B). -19
C). -12
D). 12
-- View Answer
4). If the \( \Large \angle \theta \) is acute, then the acute angle between \( \Large x^{2} \left(\cos \theta -\sin \theta \right)+2xy \cos \theta +y^{2} \left(\cos \theta +\sin \theta \right)=0 \) is
A). \( \Large 2 \theta \)
B). \( \Large \frac{ \theta }{3} \)
C). \( \Large \theta \)
D). \( \Large \frac{ \theta }{2} \)
-- View Answer
5). The equation \( \Large 2x^{2}-24y+11y^{2}=0 \) represents:
A). two parallel lines
B). two lines passing through the origin
C). two perpendicular lines
D). a circle.
-- View Answer


6). Lines \( \Large 2x+y=1\ and\ 2x+y=7 \) are
A). on the same side of a point \( \Large \left(0,\ \frac{1}{2}\right) \)
B). on the Opposite side of a point \( \Large \left(0,\ \frac{1}{2}\right) \)
C). same lines
D). perpendicular lines.
-- View Answer
7). Set of lines \( \Large \left(x-2y+1\right)+h \left(x+y\right)=0 \) (where h is a parameter) passing through a fixed point:
A). \( \Large \left(\frac{1}{3},\ -\frac{1}{3}\right) \)
B). \( \Large \left(-\frac{1}{3},\ \frac{1}{3}\right) \)
C). (1, 1)
D). none of these
-- View Answer
8). The equation of the line equidistant from the lines \( \Large 2x+3y-5=0\ and\ 4x+6y=11 \) is
A). \( \Large 2x+3y-1=0 \)
B). \( \Large 4x+6y-1=0 \)
C). \( \Large 8x+12y-1=0 \)
D). none of these
-- View Answer
9). The equation of line parallel to lines \( \Large L_{1}=x+2y-5=0\ and\ x+2y+9=0 \) and dividing the distance between \( \Large L_{1} \) and \( \Large L_{2} \) in the ratio 1 : 6 (internally) is:
A). \( \Large x+2y-3=0 \)
B). \( \Large x+2y+2=0 \)
C). \( \Large x+2y+7=0 \)
D). none of these
-- View Answer
10). The family of lines making an angle \( \Large 30 ^{\circ} \) with the line \( \Large \sqrt{3}y=x+1 \) is:
A). \( \Large x=h \) (h is parameter)
B). \( \Large y=-\sqrt{3}x+h \) (h is parameter)
C). \( \Large y=\sqrt{3}+h \)
D). none of these
-- View Answer
Home About Us Terms and Conditions Privacy Policy Contact us