The perpendicular bisector of the line segment joining P (1, 4) and Q (k, 3) has y-intercept −4. Thena possible value of k is
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Find the area of the triangle formed by the line x+y=3
and the angle bisectors of the pair of lines x2−y2+4y−4=0
The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment, if L=124.942when C=20and L=125.134when C=110, express L in terms of C.
Reduce the following equations into slope intercept form and find their slopes and the y intercepts.(i) x+7y=0, (ii) 6x+3y5=0, (iii) y=0.
Equation of a line is 3x−4y+10=0. Find its (i) slope, (ii) x and yintercepts.
If two lines represented by x4+x3y+cx2y2−xy3+y4=0 bisect the angle between the other two, then the value of c is (a) 0 (b) −1 (c) 1 (d) −6
Find the lines whose combined equation is 6x2+5xy−4y2+7x+13y−3=0
Write the equations for the x–and y–axes.
A line passes through (x1,y1)and (h,k). If slope of the line is m, show that k−y1=m(h−x1).