Identify the conic whose equations are given in column-I Column I (Equation of conic) Column II (Nature of conic) A x y+a2=a(x+y) P Ellipse B 2 x2-72 x y+23 y2-4 x-28 y-48=0 Q Hyperbola C 6 x2-5 x y-6 y2+14 x+5 y+4=0 R Parabola D 14 x2-4 x y+11 y2-44 x-58 y+71=0 S line pair E 4 x2-4 x y+y2-12 x+6 y+8=0

Question

Identify the conic whose equations are given in column-I Column I (Equation of conic) Column II (Nature of conic) A x y+a2=a(x+y) P Ellipse B 2 x2-72 x y+23 y2-4 x-28 y-48=0 Q Hyperbola C 6 x2-5 x y-6 y2+14 x+5 y+4=0 R Parabola D 14 x2-4 x y+11 y2-44 x-58 y+71=0 S line pair E 4 x2-4 x y+y2-12 x+6 y+8=0 (A) A arrow S ; B arrow Q ; C arrow S ; D arrow P ; E arrow P (B) A arrow S ; B arrow Q ; C arrow S ; D arrow P ; E arrow Q (C) A arrow S ; B arrow Q ; C arrow S ; D arrow P ; E arrow R (D) A arrow S ; B arrow Q ; C arrow S ; D arrow P ; E arrow S

Tardigrade Admin · Accepted Answer

Correct answer is (d) A arrow S ; B arrow Q ; C arrow S ; D arrow P ; E arrow S

$A \to S; B \to Q; C \to S; D \to P; E \to P$

$A \to S; B \to Q; C \to S; D \to P; E \to Q$

$A \to S; B \to Q; C \to S; D \to P; E \to R$

$A \to S; B \to Q; C \to S; D \to P; E \to S$

Correct answer is (d) $A \to S; B \to Q; C \to S; D \to P; E \to S$

Column I (Equation of conic)		Column II (Nature of conic)
A	$x y + a^{2} = a (x + y)$	P	Ellipse
B	$2 x^{2} - 72 x y + 23 y^{2} - 4 x - 28 y - 48 = 0$	Q	Hyperbola
C	$6 x^{2} - 5 x y - 6 y^{2} + 14 x + 5 y + 4 = 0$	R	Parabola
D	$14 x^{2} - 4 x y + 11 y^{2} - 44 x - 58 y + 71 = 0$	S	line pair
E	$4 x^{2} - 4 x y + y^{2} - 12 x + 6 y + 8 = 0$

A→S;B→Q;C→S;D→P;E→P

A→S;B→Q;C→S;D→P;E→Q

A→S;B→Q;C→S;D→P;E→R

A→S;B→Q;C→S;D→P;E→S

Correct answer is (d) A→S;B→Q;C→S;D→P;E→S

$A \to S; B \to Q; C \to S; D \to P; E \to P$

$A \to S; B \to Q; C \to S; D \to P; E \to Q$

$A \to S; B \to Q; C \to S; D \to P; E \to R$

$A \to S; B \to Q; C \to S; D \to P; E \to S$

Correct answer is (d) $A \to S; B \to Q; C \to S; D \to P; E \to S$