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Prove that the locus of a point that is ...

Prove that the locus of a point that is equidistant from both axis is y=x.

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The correct Answer is:
`LHS=RHS`
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Find the locus of a point which is equidistant from both axis.

Statemen-I The locus of a point which is equidistant from the point whose position vectors are 3hat(i)-2hat(j)+5hat(k) and (hat(i)+2hat(j)-hat(k)) is r(hat(i)-2hat(j)+3hat(k))=8. Statement-II The locus of a point which is equidistant from the points whose position vectors are a and b is |r-(a+b)/(2)|*(a-b)=0 .

Find the locus of a point which is equidistant from the points (3,2,1) and (-1,2,3).

Find the locus of a point, which is equidistant from the points (-1, 2, 3) and (3, 2, 1).

Find the locus of a point which moves such that its distance from x axis is five times its distance from y axis.

The equation of the locus of points equidistant from (-1-1) and (4,2) is

Find the locus of a point equidistant from the point (2,4) and the y-axis.

Prove that the mid-point of the hypotenuse of a right triangle is equidistant from its vertices.

Find the locus of a point which moves such that its distance from the origin is three times its distance from x-axis.

Find the equation of the set of all points equidistant from the point (4, 2) and the x-axis.

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Prove that the locus of a point that is equidistant from both axis is ...

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  2. Prove that 2sin^2(pi/6) - sec^2(pi/3)= -7/2

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  3. In a triangle the sum of two sides is x and the product of the same is...

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  4. Consider a triangle A B C and let a , b and c denote the lengths of th...

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  5. Solution of differential equation 2xy dy / dx = x^2 + 3y^2 is .

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  6. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

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  7. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

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  8. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

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  9. A triangle A B C with fixed base B C , the vertex A moves such that co...

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  10. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

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  11. A straight line through the vertex P of a triangle P Q R intersects th...

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  12. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  13. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  14. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  15. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

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  16. One angle of an isosceles triangle is 120^0 and the radius of its incr...

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  17. In Delta ABC, which one is true among the following ?

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  18. Let a vertical tower A B have its end A on the level ground. Let C be ...

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  19. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

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  20. For a regular polygon, let r and R be the radii of the inscribed and t...

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  21. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

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