Home
Class 12
MATHS
A right angled triangle ABC having a rig...

A right angled triangle ABC having a right angle at C, CA=b and CB=a, move such that angular points A and B slide along x-axis and y-axis respectively. Find the locus of C

A

(a) `ax+by+1=0`

B

(b) `ay+-bx=0`

C

(c) `ax^2+-2bt+y^2=0`

D

(d) `ax-by=0`

Text Solution

Verified by Experts

The correct Answer is:
B, D

Let the coordinates of A and B be, respectively, (p,0), and (0,q). Let C be (h, k).
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE PUBLICATION|Exercise Linked|10 Videos
  • COORDINATE SYSYEM

    CENGAGE PUBLICATION|Exercise Matrix match type|4 Videos
  • COORDINATE SYSYEM

    CENGAGE PUBLICATION|Exercise Exercises|59 Videos
  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos
  • CROSS PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

In a right angle triangle ABC, right angle is at C, BC+CA = 23 cm and BC-CA = 7cm ,then find sin A tan B

In triangle ABC, right angled at C, (tanA+tanB) equal to

In right angled triangle ABC, angleB is right angle. If AB= 8sqrt3cm and BC = 8cm, then find the value of angleACB and angleBAC .

ABC is a right angled triangle , right angled at C and P is the length of perpendicular from C on AB. If a, b and C are the length of sides BC, CA and AB respectively. Then___

In triangle ABC, angle B is right angled, AC=2 and A(2,2), B(1,3) then the length of the median AD is

Triangle A B C with A B=13 ,B C=5, and A C=12 slides on the coordinates axes with Aa n dB on the positive x-axis and positive y-axis respectively. The locus of vertex C is a line 12 x-k y=0. Then the value of k is_____________

ABC is a right angled triangle whose /_B is right angle and BDbotAC , if AD=4cm and CD=16cm , then calculate the length of BD and AB .

ABC is a right angled triangle in which /_A = 90^@ and AB = AC . Show that /_B = /_C .

In a right triangle ABC right-angled at B, if P and Q are points on the side AB and AC respectively, then___

ABC is a right angled triangle right angled at B. If P and Q are the mid - points of the sides overline(AB)andoverline(BC) respectively , then show that , 4(AQ^(2)+PC^(2))=5AC^(2) .