Question 1 :
Let {tex} A ( h , k ) , B ( 1,1 ) {/tex} and {tex} C ( 2,1 ) {/tex} be the vertices of a right angled triangle with {tex} A C {/tex} as its hypotenuse. If the area of the triangle is 1 square unit, then the set of values which {tex} ^ { \prime } k ^ { \prime } {/tex} can take is given by

Question 2 :
If the sum of the distance of a point <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5ea7ba066f3020298ca1287d"> from two perpendicular lines in a plane is 1, then the locus of <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5ea7ba066f3020298ca1287d"> is a

Question 3 :
The feet of the perpendicular drawn from <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5ea7ba066f3020298ca1287d"> to the sides of a <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5ea7ba17ab3481716f4b61cc"> are collinear, then <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5ea7ba066f3020298ca1287d"> is

Question 4 :
If one of the lines of {tex} m y ^ { 2 } + \left( 1 - m ^ { 2 } \right) x y - m x ^ { 2 } = 0 {/tex} is a bisector of the angle between the lines {tex} x y = {/tex} {tex} 0 , {/tex} then {tex} m {/tex} is

Question 5 :
Circumcentre of triangle whose vertices are (0, 0), (3, 0) and (0, 4) is