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Class XI Maths Straight Lines 1

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Question 1

The polar form of the equation x2 + y2 = ax is -

Question 2

The line segment joining the points (–3, –4) and (1, –2) is divided by y-axis in the ratio

Question 3

The position vectors of points A, B, C are respectively , , . If L divides AB in 3 : 4 & M divides BC in 2 : 1 both externally, then is-

Question 4

A ball is thrown from the top of the Qutab-Minar 200 ft. high with a velocity 80 ft. per second at an elevation of 30 ° above the horizon. The horizontal distance from the foot of the minar to the point where it hits the ground is: (g = 32 ft. sec2)

Question 5

If points A(1, 2, 3), B(3, 4, 7), C(–3, –2, –5) are collinear then the ratio in which B divides AC is-

Question 6

If A(4, 7, 8), B(2, 3, 4), C(2, 5, 7) are the position vectors of the vertices of ΔABC. Then length of angle bisector of angle A is -

Question 7

The ratio in which the segment joining the points (2, 4, 5), (3, 5, –4) is divided by the yz-plane is-

Question 8

If distance of any point from z-axis is thrice its distance from xy-plane, then its locus is-
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Feb 23JEE & BITSAT