Directions for questions 1 to 3: Find the related word/ letters/numbers from given alternatives.12:72::8:?
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Find the image of the point (3,8)with respect to the line x+3y=7assuming the line to be a plane mirror.
Prove that the angle between the lines joining the origin to the points of intersection of the straight line y=3x+2
with the curve x2+2xy+3y2+4x+8y−11=0
Find the equation of the line passing through (3,−5)and perpendicular to the line through the points (2,−5)and (3,−6).
Find the equation of a line perpendicular to the line x−2y+3=0and passing through the point (1,2).
Find the slope of a line, which passes through the origin, and the midpoint of the line segment joining the points P(0,4)and B(8,0).
Statement 1 : If −2h=a+b, then one line of the pair of lines ax2+2hxy+by2=0 bisects the angle between the coordinate axes in the positive quadrant. Statement 2 : If ax+y(2h+a)=0 is a factor of ax2+2hxy+by2=0, then b+2h+a=0
Both the statements are true but statement 2 is the correct explanation of statement 1. Both the statements are true but statement 2 is not the correct explanation of statement 1. Statement 1 is true and statement 2 is false. Statement 1 is false and statement 2 is true.
Find the direction in which a straight line must be drawn through the point (−1,2)so that its point of intersection with the line x+y=4 may be at a distance of 3 units from this point.
If the coordinates of the vertices of triangle ABC
, respectively, then find the equation of the median through C˙