Question

# The condition for the lines and to be perpendicular is

## The correct answer is:

### Related Questions to study

### If f : R →R; f(x) = sin x + x, then the value of (f^{-1} (x)) dx, is equal to

### If f : R →R; f(x) = sin x + x, then the value of (f^{-1} (x)) dx, is equal to

### The polar equation of the straight line with intercepts 'a' and 'b' on the rays and respectively is

### The polar equation of the straight line with intercepts 'a' and 'b' on the rays and respectively is

### The polar equation of the straight line parallel to the initial line and at a distance of 4 units above the initial line is

### The polar equation of the straight line parallel to the initial line and at a distance of 4 units above the initial line is

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### The polar equation of axy is

### If x, y, z are integers and x 0, y 1, z 2, x + y + z = 15, then the number of values of the ordered triplet (x, y, z) is -

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### If then the equation whose roots are

### If then the equation whose roots are

### Let p, q {1, 2, 3, 4}. Then number of equation of the form px^{2} + qx + 1 = 0, having real roots, is

Here we used the concept of quadratic equations and solved the problem. We also understood the concept of discriminant and used it in the solution to find the intervals. Therefore, total 7 seven solutions are possible so 7 equations can be formed.

### Let p, q {1, 2, 3, 4}. Then number of equation of the form px^{2} + qx + 1 = 0, having real roots, is

Here we used the concept of quadratic equations and solved the problem. We also understood the concept of discriminant and used it in the solution to find the intervals. Therefore, total 7 seven solutions are possible so 7 equations can be formed.

### ax^{2} + bx + c = 0 has real and distinct roots null. Further a > 0, b < 0 and c < 0, then –

Here we used the concept of quadratic equations and solved the problem. The concept of sum of roots and product of roots was also used here. Therefore, 0 < ∣α∣ < β.

### ax^{2} + bx + c = 0 has real and distinct roots null. Further a > 0, b < 0 and c < 0, then –

Here we used the concept of quadratic equations and solved the problem. The concept of sum of roots and product of roots was also used here. Therefore, 0 < ∣α∣ < β.

### The cartesian equation of is

Here we used the concept of quadratic equations and solved the problem. We also understood the concept of trigonometric ratios and used the formula to find the equation. So the equation is .

### The cartesian equation of is

Here we used the concept of quadratic equations and solved the problem. We also understood the concept of trigonometric ratios and used the formula to find the equation. So the equation is .

### The castesian equation of is

Here we used the concept of quadratic equations and solved the problem. We also understood the concept of trigonometric ratios and used the formula to find the equation. So the equation is .