The Set Of Values Of h for Which The Equation represents A Pair Of Real And Distinct Lines Is

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Question

The set of values of h for which the equation represents a pair of real and distinct lines is

easy

Solution

Correct option is

R

The equation will represent a pair of real and distinct lines, if

Which is true for all h ∈ R.

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SIMILAR QUESTIONS

Q1

If the lines joining the origin to the points of intersection of the line y = mx+ 2 and the curve x² + y² = 1 are at right-angles, then

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Q2

The equation represents a The Pair of Straight Lines, if

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Q3

The equation represents a The Pair of Straight Lines passing through the origin. The two lines are

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Q4

If the pairs of straight lines ax² + 2hxy – ay² = 0 and bx² + 2gxy – by² = 0 be such that each bisects the angles between the other, then

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Q5

If represents parallel straight lines, then

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Q6

If the equation represents a pair of perpendicular straight lines, then

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Q7

The equation represents a The Pair of Straight Lines. The distance between them is

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Q8

Let PQR be a right angled isosceles triangle, right angled at

P(2, 1). If the equation of the line QR is 2x + y = 3, then the equation representing the pair of lines PQ and PR is

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Q9

If the gradient of one of the lines given by is twice that of the other, then h =

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Q10

If one of the lines of is a bisector of angle between the lines xy = 0, then m is

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