NCERT Class 11-Math՚s: Exemplar Chapter – 10 Straight Lines Part 12 (For CBSE, ICSE, IAS, NET, NRA 2023)
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Question 46:
A point moves so that square of its distance from the point is numerically equal to its distance from the line . The equation of its locus is ________.
Answer:
Question 47:
Locus of the mid-points of the portion of the line intercepted between the axes is ________.
Answer:
State Whether the Statements in Exercises 48 to 56 Are True or False. Justify
Question 48:
If the vertices of a triangle have integral coordinates, then the triangle can not be equilateral.
Answer: True
Question 49:
The points are collinear
Answer: false
Question 50:
Equation of the line passing through the point and perpendicular to the line .
Answer: False
Question 51:
The straight line passes through the point of intersection of the straight lines and .
Answer: True
Question 52:
The vertex of an equilateral triangle is and the equation of the opposite side is . Then the other two sides are .
Answer: True
Question 53:
The equation of the line joining the point to the point of intersection of the lines and is equidistant from the points and .
Answer: True
Question 54:
The line moves in such a way that where c is a constant. The locus of the foot of the perpendicular from the origin on the given line is
Answer: True
Question 55:
The lines and are concurrent if are in G. P.
Answer: False
Question 56:
Line joining the points and is perpendicular to the line joining the points and .
Answer: False