Straight Lines questions
982 published questions with worked solutions.
- The number of points represented by the equation x=5 on the xy-plane is
- If a variable line passes through the point of intersection of the lines x+2y-1=0 and 2x-y-1=0 and meets the coordinate axes in A...
- What is the equation to the straight line passing through the point (- , ) and perpendicular to the line x +y =9?
- ABC is a triangle with A(3, 5). The mid-points of sides AB, AC are at (-1, 2), (6, 4) respectively. What are the coordinates of...
- ABC is an acute angled isosceles triangle. Two equal sides AB and AC lie on the lines 7x-y-3=0 and x+y-5=0. If is one of the...
- Let x+2y+1=0 and 2x+3y+4=0 are two lines of regression computed from some bivariate data. If is the acute angle between them,...
- The diagonals of a quadrilateral ABCD are along the lines x-2y=1 and 4x+2y=3. The quadrilateral ABCD may be a
- If P(2, 4), Q(8, 12), R(10, 14) and S(x, y) are vertices of a parallelogram, then what is (x+y) equal to?
- Under what condition will the lines m^2x+ny-1=0 and n^2x-my+2=0 be perpendicular?
- The vertices of a triangle are A(1, 1), B(0, 0) and C(2, 0). The angular bisectors of the triangle meet at P. What are the...
- ABC is an equilateral triangle and AD is the altitude on BC. If the coordinates of A are (1, 2) and that of D are (-2, 6), then...
- For different values of m, the equation 4y=mx-m+2 represents
- The equation of the locus of a point equidistant from the points (a, b) and (c, d) is (a-c)x+(b-d)y+k=0. What is the value of k?
- What is the sum of the intercepts of the line x a^2 + y b^2 = 2 a^2+b^2 on the coordinate axes?
- Which one of the following is the perpendicular form of the straight line 3 x+2y=7?
- What is the value of if is the acute angle between the lines whose equations are px+qy=p+q and p(x-y)+q(x+y)=2q?
- A line ( )x+( )y= 2 cuts the coordinate axes at points P and Q. Let M be the midpoint of the line segment PQ. What is the...
- A ray of light passing through the point P(1, 2) reflects on the x-axis at point N and the reflected ray passes through the point...
- A line cuts off intercept p on the x-axis and intercept q on the y-axis, where p>q. The sum of the intercepts is 2 and the...
- Let P and Q be the points on the positive x-axis and positive y-axis respectively. A point N(2, 1) divides the line segment PQ in...
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