NCERT Class 11-Math՚s: Exemplar Chapter – 10 Straight Lines Part 11 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Question 36:

For specifying a straight line, how many geometrical parameters should be known?

(A)

(B)

(C)

(D)

Answer: (B)

Question 37:

The point undergoes the following two successive transformations:

(i) Reflection about the line

(ii) Translation through a distance units along the positive axis

Then the final coordinates of the point are

(A)

(B)

(C)

(D)

Answer: (B)

Question 38:

A point equidistant from the lines and is

(A)

(B)

(C)

(D)

Answer: (C)

Question 39:

A line passes through and is perpendicular to the line . it՚s intercept is

(A)

(B)

(C)

(D)

Answer: (D)

Question 40:

The ratio in which the line divides the distance between the lines and is

(A)

(B)

(C)

(D)

Answer: (B)

Question 41:

One vertex of the equilateral triangle with centroid at the origin and one side as is

(A)

(B)

(C)

(D)

[Hint: Let ABC be the equilateral triangle with vertex and let be the point on BC. Then . Also and

Answer: (B)

Fill in the Blank in Exercises 42 to 47

Question 42:

If are in A. P. , then the straight lines will always pass through ________.

Answer:

Question 43:

The line which cuts off equal intercept from the axes and pass through the point is ________.

Answer:

Question 44:

Equations of the lines through the point and making an angle of with the line are ________.

Answer:

Question 45:

The points and are situated on the ________ of the line .

Answer:

Opposite sides