Straight Lines questions
982 published questions with worked solutions.
- If the locus of the point, whose distances from the point (2, 1) and (1, 3) are in the ratio 5 : 4, is ax² + by² + cxy + dx + ey...
- If P(6, 1) be the orthocentre of the triangle whose vertices are A(5, −2), B(8, 3) and C(h, k), then the point C lies on the...
- The equations of two sides AB and AC of a triangle ABC are 4x + y = 14 and 3x − 2y = 5, respectively. The point (2, - 43 )...
- If the orthocentre of the triangle formed by the lines 2x + 3y − 1 = 0, x + 2y − 1 = 0 and ax + by − 1 = 0, is the centroid of...
- If the line segment joining the points (5, 2) and (2, a) subtends an angle 4 at the origin, then the absolute value of the...
- Let a ray of light passing through the point (3, 10) reflects on the line 2x + y = 6 and the reflected ray passes through the...
- A triangle ABC lying in the first quadrant has two vertices as A(1, 2) and B(3, 1). If ∠BAC = 90°, and ar(ΔABC) = 5 5 sq. units,...
- If the line. 2x – y + 3 = 0 is at a distance 1 5 and 2 5 from the lines 4x – 2y + = 0 and 6x – 3y + = 0, respectively, then the...
- A ray of light coming from the point (2,2 3 ) is incident at an angle 30º on the line x = 1 at the point A. The ray gets...
- Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively. Then the image of the point (–1, –4) in...
- If z=x+iy and | 1-iz z-i |=1, the locus of z is
- The locus of z satisfying the inequality | z+2i 2z+i |<1 where z=x+iy, is
- The locus represented by the equation |z-1|=|z-i| is
- The point (4,1) undergoes the following three transformations successively: (i) Reflection about the line y=x, (ii) Translation...
- The locus of the point z=x+iy satisfying | z-2i z+2i |=1 is
- If Im ( z-1 2z+1 )=-4, then locus of z is
- Let z_1,z_2 and z_3 be the affixes of the vertices of a triangle having the circumcentre at the origin. If z is the affix of its...
- The locus of the point z=x+iy satisfying the equation | z-1 z+1 |=1 is given by
- If z=x+iy, then area of the triangle whose vertices are points z, iz, z+iz is
- A point P which represents a complex number z moves such that |z-z_1|=|z-z_2|, then its locus is
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